June 18, 2017

For Mr. Zaitsev some package to play

library(OpenImageR)
library(mxnet)
library(dplyr)

Часть 1. Увеличение количества картинок

Первой частью нашего задания будет искусственное увеличение датасета с помощью функции Augmentation в пакете OpenImageR: хочется взять и каждую картинку случайно повернуть и немного сдвинуть и проделать это где-то ~50 раз.

Пример использования функции ниже:

# taken from https://stackoverflow.com/questions/22509106/converting-a-matrix-into-a-gray-scale-image-in-r
grays = rgb(red = 0:255/255, blue = 0:255/255, green = 0:255/255)

patch <- readImage("patches/patch1.jpg")
image(patch, col=grays)

А ещё было бы неплохо применить ZCA whitening (подробнее можно почитать здесь https://en.wikipedia.org/wiki/Whitening_transformation) – это такое нормализующее преобразование, которое часто используется в обучении нейронных сетей.

# ZCA only
patchAugmented <- Augmentation(patch, zca_comps = 30, zca_epsilon = 0.1, threads = 1, verbose = F)
image(patchAugmented, col=grays)

ZCA only + flip

# ZCA only + flip
patchAugmented <- Augmentation(patch, flip_mode = "horizontal",
                                 zca_comps = 30, zca_epsilon = 0.1, threads = 1, verbose = F)
image(patchAugmented, col=grays)

###ZCA only + flip + rotation 30 degrees counterclockwise

# ZCA only + flip + rotation 30 degrees counterclockwise
patchAugmented <- Augmentation(patch, flip_mode = "horizontal", 
             rotate_angle = 30, rotate_method = 'bilinear', 
             zca_comps = 30,zca_epsilon = 0.1, threads = 1, verbose = F)
image(patchAugmented, col=grays)

###ZCA only + flip + rotation 30 degrees counterclockwise + shift 10 pixels comlumns and 5 pixels rows

# ZCA only + flip + rotation 30 degrees counterclockwise + shift 10 pixels comlumns and 5 pixels rows
patchAugmented <- Augmentation(patch, flip_mode = "horizontal",
             shift_cols = 10, shift_rows = 5,
             rotate_angle = 30, rotate_method = 'bilinear', 
             zca_comps = 30,zca_epsilon = 0.1, threads = 1, verbose = F)
image(patchAugmented, col=grays)

Данные

В папке patches лежат маленькие картинки – части изображений легких. В папке slices лежат изорабражения срезов легких целиком. В файле patch_labels.csv лежит 168 чисел от 0 до 2: 0 for normal tissue (NT), 1 for centrilobular emphysema (CLE), 2 for paraseptal emphysema (PSE), описывает класс каждого изображения из папки patches. Вообще все эти слайсы и патчи от реальных пациентов, и там есть файлики, которые описывают это всё дело, но нас в этой работе будут интересовать только patches и patch_labels.

Preparing data

data_patch_labels <- read.csv("patch_labels.csv", header = F)
data_patch_labels <- rename(data_patch_labels, 
                   patch_labels = V1)

data_patch_subjects <- read.csv("patch_subjects.csv", header = F)
data_patch_subjects <- rename(data_patch_subjects, 
                   patch_subjects = V1)

data_patch_labels$subjects <- data_patch_subjects$patch_subjects
data_patch_labels$file_name <- c(1:168)
data_patch_labels$file_name <- sub("^", "patch", data_patch_labels$file_name)
data_patch_labels$file_name <- paste0(data_patch_labels$file_name, ".jpg")

dataFiles <- as.character(data_patch_labels$file_name)
head(data_patch_labels)
##   patch_labels subjects  file_name
## 1            1    A0001 patch1.jpg
## 2            1    A0001 patch2.jpg
## 3            1    A0001 patch3.jpg
## 4            1    A0001 patch4.jpg
## 5            1    A0001 patch5.jpg
## 6            1    A0001 patch6.jpg

Хочется взять разбить 168 картинок на тренировочную и тестирущие выборки: 34 в тестирующей и 134 в тренировочной. Тогда воспользуемся результатами предыдущего шага 134×50 картинок – тренировочная выборка, 34×50 – тестирующая. Хочется обучить нейронную сеть, как мы делали на паре. Мы сделал ремарку, что разбивать а валидирующий и тренировочный датасеты лучше до амплификации. Сделаем же это.

set.seed(3045)

data <- head(data_patch_labels, 168)

dataset.size <- 168
training.size <- floor(0.8 * dataset.size)
validation.size <- dataset.size - training.size
training.set <- sample(1:dataset.size, training.size)
validation.set <- (1:dataset.size)[-training.set]

train <- data[training.set, ]
test <- data[validation.set, ]

dim(train)
## [1] 134   3
dim(test)
## [1] 34  3

Преобразуем данные, только, в отличие от случая в лекции, картинку мы будем не поворачивать, а применять к ней те преобразования, которые ты предложил в начале домашнего задания.

# for train

data.dims <- dim(train)
features <- 61 * 61
dataset.size <- 50 * data.dims[1]
nn.data.x <- matrix(0, nrow=dataset.size, ncol=features)
nn.data.y <- vector(length=dataset.size)
rotate_angle <- seq(0, 359, 72)
pixel_shift <- seq(-5, 4, 1)
array_tranform <- expand.grid(rotate_angle, pixel_shift)

for (i in 1:data.dims[1]) {
  print(i)
  image <- as.character(train[i, ]$file_name)
  image <- readImage(sprintf("patches/%s", image))
  for (j in 1:50) {
    patchAugmented <- Augmentation(image, flip_mode = "horizontal",
             shift_cols = array_tranform[j,2], shift_rows = array_tranform[j,2],
             rotate_angle = array_tranform[j,1], rotate_method = 'bilinear', 
             zca_comps = 30,zca_epsilon = 0.1, threads = 1, verbose = F)
    #image(patchAugmented, col=grays)
    nn.data.x[(i - 1) * 50 + j, ] <- as.numeric(patchAugmented)
    nn.data.y[(i - 1) * 50 + j] <- train[i, ]$patch_labels
  }
}
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# for test

data.dims_test <- dim(test)
features_test <- 61 * 61
dataset.size_test <- 50 * data.dims_test[1]
nn.data.x_test <- matrix(0, nrow=dataset.size_test, ncol=features_test)
nn.data.y_test <- vector(length=dataset.size_test)
rotate_angle <- seq(0, 359, 72)
pixel_shift <- seq(-5, 4, 1)
array_tranform <- expand.grid(rotate_angle, pixel_shift)

for (i in 1:data.dims_test[1]) {
  print(i)
  image <- as.character(test[i, ]$file_name)
  image <- readImage(sprintf("patches/%s", image))
  for (j in 1:50) {
    patchAugmented <- Augmentation(image, flip_mode = "horizontal",
             shift_cols = array_tranform[j,2], shift_rows = array_tranform[j,2],
             rotate_angle = array_tranform[j,1], rotate_method = 'bilinear', 
             zca_comps = 30,zca_epsilon = 0.1, threads = 1, verbose = F)
    #image(patchAugmented, col=grays)
    
    if ( (i - 1) * 50 + j == 1 ){
      print(patchAugmented)
      print(as.numeric(patchAugmented))
    }
    nn.data.x_test[(i - 1) * 50 + j, ] <- as.numeric(patchAugmented)
    nn.data.y_test[(i - 1) * 50 + j] <- test[i, ]$patch_labels
  }
}
## [1] 1
##       [,1] [,2] [,3] [,4] [,5]          [,6]         [,7]         [,8]
##  [1,]    0    0    0    0    0 -0.5471706147 -0.553357464 -0.561143101
##  [2,]    0    0    0    0    0 -0.5471706147 -0.553357464 -0.561143101
##  [3,]    0    0    0    0    0 -0.5471706147 -0.553357464 -0.561143101
##  [4,]    0    0    0    0    0 -0.5471706147 -0.553357464 -0.561143101
##  [5,]    0    0    0    0    0 -0.5471706147 -0.553357464 -0.561143101
##  [6,]    0    0    0    0    0  0.0324323652  0.004761403 -0.057327012
##  [7,]    0    0    0    0    0 -0.0797297580 -0.035392458  0.023375992
##  [8,]    0    0    0    0    0  0.0858557527  0.045659081 -0.009604469
##  [9,]    0    0    0    0    0  0.0124880529  0.009331443  0.044979436
## [10,]    0    0    0    0    0  0.0050401018 -0.007621914  0.000848972
## [11,]    0    0    0    0    0  0.1832421898  0.151555973  0.079507448
## [12,]    0    0    0    0    0 -0.1717603059 -0.132442373 -0.056607584
## [13,]    0    0    0    0    0  0.1485108336  0.158218447  0.144289316
## [14,]    0    0    0    0    0 -0.0386481961 -0.087288913 -0.131926968
## [15,]    0    0    0    0    0  0.0337823068  0.023820179  0.031544038
## [16,]    0    0    0    0    0 -0.0120556174 -0.016212287  0.003084181
## [17,]    0    0    0    0    0 -0.0172293019 -0.015685611 -0.036784715
## [18,]    0    0    0    0    0 -0.0733415917 -0.026717014 -0.008453813
## [19,]    0    0    0    0    0 -0.0121059749  0.003456417  0.009407489
## [20,]    0    0    0    0    0  0.0216600626  0.013321351 -0.002658736
## [21,]    0    0    0    0    0  0.0048344809 -0.007662422 -0.031942509
## [22,]    0    0    0    0    0  0.0022324471 -0.004248714  0.008698130
## [23,]    0    0    0    0    0 -0.0107256961 -0.031049747 -0.031339583
## [24,]    0    0    0    0    0 -0.0789386498 -0.069997834 -0.027343075
## [25,]    0    0    0    0    0  0.0415862514  0.010634612  0.008838210
## [26,]    0    0    0    0    0  0.0476088486  0.046685814  0.053709187
## [27,]    0    0    0    0    0  0.1814418915  0.224938182  0.261079785
## [28,]    0    0    0    0    0  0.0614588571  0.084580700  0.101169482
## [29,]    0    0    0    0    0  0.0270437217  0.074004347  0.138772477
## [30,]    0    0    0    0    0  0.1069308393  0.156802445  0.220982649
## [31,]    0    0    0    0    0  0.1885238881  0.202743592  0.192314990
## [32,]    0    0    0    0    0  0.1343292047  0.167672548  0.186299404
## [33,]    0    0    0    0    0  0.1800670221  0.218937945  0.270433334
## [34,]    0    0    0    0    0  0.0757868721  0.070323749  0.087499714
## [35,]    0    0    0    0    0  0.2407044187  0.218541004  0.193594306
## [36,]    0    0    0    0    0  0.1723725095  0.151032052  0.136036660
## [37,]    0    0    0    0    0  0.0648037101  0.077189356  0.099859502
## [38,]    0    0    0    0    0  0.2266703961  0.214710053  0.178169765
## [39,]    0    0    0    0    0 -0.1123836442 -0.062915564 -0.006303924
## [40,]    0    0    0    0    0  0.0682788386  0.073261118  0.046351138
## [41,]    0    0    0    0    0 -0.0449864705 -0.015152553 -0.020155760
## [42,]    0    0    0    0    0 -0.1064740634 -0.111978308 -0.088876449
## [43,]    0    0    0    0    0 -0.0704180710 -0.019975486  0.030418132
## [44,]    0    0    0    0    0  0.1510596362  0.103437061  0.059718272
## [45,]    0    0    0    0    0 -0.0597046958 -0.034676405  0.023014870
## [46,]    0    0    0    0    0  0.1301017406  0.061170679  0.012333895
## [47,]    0    0    0    0    0 -0.0141034500 -0.011653522  0.007229065
## [48,]    0    0    0    0    0 -0.0864337528 -0.044660573 -0.006981143
## [49,]    0    0    0    0    0 -0.0009006682 -0.022531802 -0.023748402
## [50,]    0    0    0    0    0 -0.0993524313 -0.093426616 -0.047033218
## [51,]    0    0    0    0    0  0.0855696597 -0.027401260 -0.116806647
## [52,]    0    0    0    0    0 -0.0060178035 -0.033248922 -0.068349553
## [53,]    0    0    0    0    0  0.1238725674  0.079695457  0.028087007
## [54,]    0    0    0    0    0  0.2233899875  0.149023599  0.061250329
## [55,]    0    0    0    0    0  0.1204663285  0.102028810  0.089770535
## [56,]    0    0    0    0    0  0.0940676518  0.139946345  0.135952643
## [57,]    0    0    0    0    0  0.2316936278  0.214061390  0.137893516
## [58,]    0    0    0    0    0  0.0595168903  0.090155766  0.099756637
## [59,]    0    0    0    0    0  0.0701696896  0.102502251  0.121597704
## [60,]    0    0    0    0    0  0.1970856193  0.184659143  0.142781834
## [61,]    0    0    0    0    0 -0.0035160453  0.049865304  0.107309022
##               [,9]       [,10]         [,11]        [,12]        [,13]
##  [1,] -0.564457260 -0.56491049 -0.5625095541 -0.574250518 -0.570348776
##  [2,] -0.564457260 -0.56491049 -0.5625095541 -0.574250518 -0.570348776
##  [3,] -0.564457260 -0.56491049 -0.5625095541 -0.574250518 -0.570348776
##  [4,] -0.564457260 -0.56491049 -0.5625095541 -0.574250518 -0.570348776
##  [5,] -0.564457260 -0.56491049 -0.5625095541 -0.574250518 -0.570348776
##  [6,] -0.151443007 -0.22331486 -0.1433754065 -0.110605323 -0.059812765
##  [7,]  0.080595679  0.10478242 -0.0398845543 -0.051765743 -0.061692916
##  [8,] -0.056886423 -0.08748320  0.0037858721  0.003778892  0.018369323
##  [9,]  0.103995453  0.15476791  0.1010401855  0.066010513  0.012016625
## [10,]  0.039573649  0.08304718  0.0580578717  0.067699225  0.053753886
## [11,] -0.020349125 -0.09723688 -0.0322110087  0.021070781  0.096659119
## [12,]  0.028418786  0.08172444  0.0003743252  0.014394534  0.040856401
## [13,]  0.111600902  0.07762938  0.0310461460 -0.002581085 -0.055940947
## [14,] -0.141774487 -0.12439836  0.0079777534  0.071521182  0.094101278
## [15,]  0.048333767  0.05723458  0.0048905245  0.023045589  0.025923495
## [16,]  0.024301982  0.03226675 -0.0526881824 -0.085490423 -0.108121155
## [17,] -0.056541066 -0.06675346 -0.0204476648  0.006184651  0.001800341
## [18,] -0.032284716 -0.06383136  0.0470468805  0.026236497  0.030932453
## [19,] -0.025832538 -0.05942759 -0.0256471208 -0.092431799 -0.100491848
## [20,] -0.035552386 -0.06331654 -0.0417303577 -0.067286294 -0.027760833
## [21,] -0.067965667 -0.10030129  0.0277366778  0.037105031  0.076379553
## [22,]  0.027384017  0.02542938  0.0612327587  0.100165708  0.147723137
## [23,]  0.010556176  0.07396749  0.1375751512  0.143806947  0.151981517
## [24,]  0.041131551  0.09145433  0.1111830644  0.129914319  0.173676934
## [25,]  0.044636344  0.09034272  0.2106288156  0.208123775  0.187282646
## [26,]  0.062595898  0.06945113  0.0929524627  0.087549437  0.095097263
## [27,]  0.259709868  0.24895294  0.3252409409  0.295615225  0.245101608
## [28,]  0.091275650  0.08533696  0.1577491133  0.165370569  0.177827854
## [29,]  0.197202683  0.22751418  0.2087517613  0.146620035  0.092040699
## [30,]  0.272790357  0.29581730  0.1842967351  0.208518268  0.177247622
## [31,]  0.150764247  0.11813374  0.0772689692  0.110327676  0.082250271
## [32,]  0.164747041  0.13685152  0.2228010464  0.211621683  0.131659629
## [33,]  0.301215233  0.31591404  0.1404777742  0.182998492  0.106666921
## [34,]  0.117432490  0.13890113  0.1612353982  0.210114265  0.171988094
## [35,]  0.161297445  0.14736392 -0.0221543692  0.026776516 -0.020242735
## [36,]  0.129288309  0.13335159  0.2318717721  0.207741608  0.154932298
## [37,]  0.133549423  0.16897693  0.1118354120  0.057695618  0.040865340
## [38,]  0.099254197  0.03265330 -0.0389642614  0.062732038  0.026538043
## [39,]  0.035678110  0.05794098 -0.0233955352  0.024571744 -0.033827652
## [40,] -0.016844544 -0.06575181 -0.1477034506 -0.121377956 -0.108215730
## [41,] -0.040714067 -0.06491601  0.0916499141  0.028271660 -0.105966918
## [42,] -0.051894274 -0.02658597 -0.0517733706 -0.030453634  0.018100678
## [43,]  0.083679274  0.11036501  0.0543430065  0.003005390 -0.049292364
## [44,]  0.026284192  0.01680021  0.0268997438  0.034072754  0.052643879
## [45,]  0.093385328  0.13334578  0.0440861007  0.001008603 -0.035587773
## [46,] -0.008857847 -0.02523768  0.0646167079 -0.055463468 -0.038641007
## [47,]  0.011286091 -0.00870486  0.0971843800  0.062660919  0.197160203
## [48,] -0.010880686 -0.03772814 -0.0787271695 -0.136119041 -0.124318117
## [49,] -0.034489415 -0.05423899 -0.0660783292 -0.043480678  0.056930266
## [50,]  0.027514100  0.09107464  0.0324301562  0.007757125 -0.002924870
## [51,] -0.109331289 -0.05476895 -0.0412851382 -0.045846054  0.013322161
## [52,] -0.022704875  0.05566148  0.0939347417  0.033160289 -0.016549392
## [53,]  0.026949939  0.05811040 -0.0396695601 -0.030430857  0.042731473
## [54,]  0.059237634  0.10520484  0.1850306735  0.181563892  0.105578860
## [55,]  0.135738142  0.18907199  0.0902699690  0.022573274  0.040898111
## [56,]  0.098756328  0.07159081  0.0924531423  0.173005263  0.232563550
## [57,]  0.026067418 -0.05813451  0.1068416339  0.158805705  0.146224086
## [58,]  0.083967721  0.05824631  0.0458005499  0.098074838  0.124574158
## [59,]  0.116328034  0.08381756  0.0111083669  0.040462646  0.124144574
## [60,]  0.057480410 -0.02152108 -0.0802191230 -0.100209466 -0.103447306
## [61,]  0.122628844  0.10510873  0.0047958742  0.083061231  0.136033858
##               [,14]        [,15]        [,16]         [,17]         [,18]
##  [1,] -0.5795748047 -0.584451723 -0.584174309 -0.5925591179 -5.759138e-01
##  [2,] -0.5795748047 -0.584451723 -0.584174309 -0.5925591179 -5.759138e-01
##  [3,] -0.5795748047 -0.584451723 -0.584174309 -0.5925591179 -5.759138e-01
##  [4,] -0.5795748047 -0.584451723 -0.584174309 -0.5925591179 -5.759138e-01
##  [5,] -0.5795748047 -0.584451723 -0.584174309 -0.5925591179 -5.759138e-01
##  [6,] -0.0736892553 -0.074400497 -0.049925488 -0.0244497213 -4.240926e-02
##  [7,] -0.0286407641 -0.028592180 -0.058629835 -0.0692825081 -1.051316e-01
##  [8,] -0.0188185084  0.003795937  0.038420589 -0.0280407216 -9.341221e-02
##  [9,] -0.0171626336 -0.015404112  0.008119010  0.0085649810 -4.412239e-02
## [10,]  0.0237477835 -0.028544042 -0.052409573 -0.0351589053 -6.085673e-02
## [11,]  0.0755046290  0.059898938  0.047286819  0.0052885582  8.579434e-06
## [12,]  0.0703641377  0.079624641  0.056182571  0.0460770052  4.339442e-02
## [13,] -0.1031185320 -0.118609549 -0.117485649 -0.1096193256 -1.572927e-01
## [14,]  0.0872786143  0.037109676 -0.008322618 -0.0599588629 -1.193711e-01
## [15,] -0.0186112739  0.004851667  0.037807835 -0.0191847213 -1.247733e-01
## [16,] -0.0813106299 -0.008434927  0.056421602  0.0277296593 -3.221069e-02
## [17,] -0.0069599750 -0.044365091 -0.019746919  0.0704635083  7.906966e-02
## [18,]  0.0002881014 -0.015865435 -0.023592044 -0.0102592727 -1.165956e-02
## [19,] -0.0419665062  0.032240193  0.059212908  0.0417952816 -3.267748e-02
## [20,]  0.0211782336  0.125951134  0.185370733  0.1464205952  4.581762e-02
## [21,]  0.1237606069  0.103572480  0.065729497  0.0736618210  8.187247e-02
## [22,]  0.1689351300  0.182794654  0.210955120  0.2100101819  1.245948e-01
## [23,]  0.1662999779  0.118342386  0.054002270 -0.0220394147 -1.753753e-01
## [24,]  0.1406373816  0.143885199  0.163342511  0.1207086712  2.811620e-02
## [25,]  0.0923388213  0.103086675  0.156666295  0.0938749525 -7.092510e-02
## [26,]  0.0901870411  0.159326002  0.241706279  0.2477695689  1.108879e-01
## [27,]  0.1731036535  0.142676096  0.117890532  0.0387975239 -1.449833e-01
## [28,]  0.1896151857  0.174703799  0.119175651  0.0607264726 -1.101498e-01
## [29,]  0.0748702411  0.113979367  0.128859437  0.0782084858 -1.045264e-01
## [30,]  0.1813569773  0.097621769 -0.006986779  0.0282008386 -4.587034e-02
## [31,]  0.1269928662  0.083615278  0.032057188  0.1046574825  5.504381e-02
## [32,]  0.0799198650  0.068646333  0.041192795 -0.0149526461 -1.325079e-01
## [33,]  0.1581851752  0.186803475  0.188895256  0.2482353707  7.782810e-02
## [34,]  0.1565956953  0.168745479  0.157910381  0.1410494608 -5.744792e-02
## [35,]  0.0519532208  0.135351162  0.170192003  0.2143128586  3.982437e-02
## [36,]  0.1735326838  0.167657683  0.110254895  0.1278808264  1.662498e-02
## [37,]  0.1485755972  0.178835569  0.099525870  0.1678139877  9.021951e-02
## [38,]  0.0435970020  0.030202760  0.086644849  0.1166033934  4.080910e-01
## [39,] -0.0452861428 -0.032765646  0.087647335  0.1847752028  5.370940e-01
## [40,] -0.0742334861 -0.089667821 -0.071015756 -0.0198117307  3.423413e-01
## [41,] -0.1125104090 -0.174281272 -0.132275281  0.0815061315  5.642856e-01
## [42,]  0.1526842211  0.104817645  0.008249198  0.1213083890  5.931182e-01
## [43,] -0.0150152658 -0.076633652 -0.058807924  0.1721946812  7.543758e-01
## [44,]  0.1378173704  0.073641044 -0.001907780  0.1047201582  6.172184e-01
## [45,] -0.0157846323 -0.056673183 -0.057190848  0.0776999735  5.902263e-01
## [46,] -0.0484483642  0.045939024  0.101671066  0.1448326946  5.460085e-01
## [47,]  0.1440252009  0.154546824  0.053037827 -0.0748725804  1.040108e-01
## [48,] -0.2076207446 -0.126421170 -0.033166466 -0.0785868924  8.040829e-02
## [49,]  0.0339558204  0.100544253  0.094863854 -0.0537809282 -1.623407e-01
## [50,] -0.1375466332 -0.160517109 -0.145100037 -0.2341028998 -3.774249e-01
## [51,]  0.0215843600  0.048357819  0.012666620 -0.1105975239 -3.648955e-01
## [52,]  0.0139041301 -0.038541176 -0.076250711 -0.0198246415 -1.778821e-01
## [53,]  0.1326775091  0.112291681  0.042857377  0.0013364248 -1.550205e-01
## [54,] -0.0174809595 -0.047605133 -0.003608975 -0.0244771990 -2.016538e-01
## [55,]  0.1091879168  0.149690766  0.130118388  0.0994025993  9.030576e-02
## [56,]  0.1860055730  0.093256233  0.063867924  0.0811014359  3.741765e-02
## [57,]  0.0763963961  0.127053703  0.223970410  0.1641880919 -2.486924e-02
## [58,]  0.1132358623  0.105593650  0.134160482  0.1359953852  6.611062e-02
## [59,]  0.1309361374  0.044838021 -0.031041890  0.0154087052  6.430953e-02
## [60,] -0.0927817847  0.095099522  0.266362751  0.1679971667 -1.522948e-01
## [61,]  0.1836314054  0.100592074  0.015039988  0.0004775598 -2.697043e-02
##              [,19]       [,20]         [,21]        [,22]        [,23]
##  [1,] -0.566204807 -0.54226740 -0.5563530288 -0.560277746 -0.555948543
##  [2,] -0.566204807 -0.54226740 -0.5563530288 -0.560277746 -0.555948543
##  [3,] -0.566204807 -0.54226740 -0.5563530288 -0.560277746 -0.555948543
##  [4,] -0.566204807 -0.54226740 -0.5563530288 -0.560277746 -0.555948543
##  [5,] -0.566204807 -0.54226740 -0.5563530288 -0.560277746 -0.555948543
##  [6,]  0.013297907  0.04860346  0.0367301479 -0.004646363 -0.085836964
##  [7,] -0.214904989 -0.17981165 -0.0880211614 -0.085290438 -0.041662232
##  [8,] -0.012268542 -0.03718593 -0.1320630533 -0.126895699 -0.129362403
##  [9,] -0.102701549 -0.10320045 -0.0648324034 -0.003824541  0.015733792
## [10,] -0.175661345 -0.11590592 -0.0562331760 -0.081565099 -0.030695850
## [11,]  0.038062568 -0.01002395 -0.1126541553 -0.192217819 -0.251397431
## [12,] -0.095014067 -0.09260889 -0.0728940769 -0.081140473 -0.128661449
## [13,] -0.101266451 -0.15835246 -0.1310129622 -0.144424167 -0.081674383
## [14,] -0.315039191 -0.18537352 -0.0992394013 -0.052749723  0.022410042
## [15,] -0.038693378  0.00847363  0.0047215005 -0.038340836 -0.066075156
## [16,] -0.131589160 -0.07854839 -0.0328882477 -0.032870091 -0.018811566
## [17,] -0.065818404 -0.01423523  0.0307272563 -0.002875284 -0.001092013
## [18,]  0.099075599  0.06481372  0.0315961921  0.006467017 -0.035497233
## [19,] -0.040270582 -0.02597397 -0.0308311380 -0.049548972 -0.016356684
## [20,] -0.033316522 -0.06232602  0.0002315515  0.014562849 -0.015033132
## [21,] -0.054693654 -0.05025969 -0.0487189544 -0.081203521 -0.042154148
## [22,] -0.023288188  0.02483625  0.0418615811 -0.003109736 -0.184878903
## [23,] -0.156502423 -0.10141914 -0.0314907268 -0.047724475 -0.134819372
## [24,] -0.071435038 -0.02963317  0.0147930080 -0.014644224 -0.054608157
## [25,] -0.144964183 -0.13050198 -0.0284170228 -0.082209770 -0.070111940
## [26,] -0.143571764 -0.10212027 -0.0006619917 -0.084341938 -0.078483475
## [27,] -0.131988218 -0.09499595  0.0314694438 -0.097453934 -0.090806067
## [28,] -0.309437914 -0.21969500  0.0161306684 -0.117571875 -0.069716137
## [29,] -0.222480083 -0.12443412  0.1184222399 -0.011023635 -0.016783865
## [30,] -0.162767769 -0.05690593 -0.0565238308 -0.190819417 -0.154719617
## [31,] -0.048410881 -0.10119809  0.0127077462  0.041140240 -0.022610570
## [32,] -0.056650563 -0.15780976 -0.1401082385 -0.086675737 -0.105308012
## [33,] -0.199423480 -0.07298071  0.0060250481 -0.081727323 -0.099441905
## [34,] -0.199226417  0.01233217  0.0849705885  0.000339716 -0.054954509
## [35,] -0.102596735 -0.12494399 -0.0975535692 -0.034399636 -0.090441677
## [36,]  0.004493607 -0.09484358 -0.0211378009  0.039939775 -0.030077474
## [37,]  0.072622019  0.11808052  0.0579557234 -0.059805822 -0.026071089
## [38,]  0.698238126  0.39968877  0.1190892977  0.128173822  0.064459219
## [39,]  0.820686428  0.96559075  0.6657300766  0.392165849  0.341375973
## [40,]  0.699986448  0.84394017  0.7564653646  0.768600231  0.712065131
## [41,]  0.784106047  0.48728449  0.5382873652  0.635287180  0.537131097
## [42,]  0.638408884  0.23181240  0.1586220127  0.109662490  0.093342001
## [43,]  0.692600358  0.28392757  0.0284937872 -0.121478470 -0.058430726
## [44,]  0.483634780 -0.05439325 -0.1550217484 -0.147603925 -0.060959693
## [45,]  0.716701047 -0.02770887 -0.0073860257 -0.003998785 -0.251756291
## [46,]  0.757244089  0.11509569 -0.0608308835 -0.161254973 -0.244244033
## [47,]  0.644063189  0.17611218 -0.0998768463 -0.092874179 -0.311648631
## [48,]  0.769805630  0.63553006  0.1253006947  0.167301688 -0.043917101
## [49,]  0.159958103  0.45200759  0.0413691480  0.253155238  0.264944796
## [50,]  0.078297593  0.65711527  0.0278611932 -0.001481686  0.296644959
## [51,] -0.261949234  0.50172700  0.3630567384  0.244872360  0.690716907
## [52,] -0.437197229  0.14101200  0.7255330359  0.638912389  0.872473253
## [53,] -0.440579457 -0.17059349  0.9879313543  1.066634727  0.830582902
## [54,] -0.249458944 -0.16319771  0.3204162026  1.096680650  1.092194208
## [55,] -0.044153161 -0.24387866 -0.2253216971  0.310892262  0.637030513
## [56,] -0.099531302 -0.09540953 -0.1171511165 -0.048616974  0.020529307
## [57,] -0.166631360 -0.07947232 -0.1983393689 -0.176219165 -0.110440048
## [58,] -0.111519969 -0.06296607 -0.1179996845 -0.186066950 -0.181921808
## [59,]  0.112322342  0.02002868 -0.2142567064 -0.203314760 -0.084229755
## [60,] -0.217660606 -0.06805933 -0.0303521931 -0.031863824 -0.086392447
## [61,] -0.069917976  0.01429161 -0.0929156416 -0.049525515 -0.049807438
##               [,24]        [,25]       [,26]        [,27]         [,28]
##  [1,] -0.5518442556 -0.538361123 -0.52271529 -0.542568618 -5.519493e-01
##  [2,] -0.5518442556 -0.538361123 -0.52271529 -0.542568618 -5.519493e-01
##  [3,] -0.5518442556 -0.538361123 -0.52271529 -0.542568618 -5.519493e-01
##  [4,] -0.5518442556 -0.538361123 -0.52271529 -0.542568618 -5.519493e-01
##  [5,] -0.5518442556 -0.538361123 -0.52271529 -0.542568618 -5.519493e-01
##  [6,] -0.1458690137 -0.140909735 -0.10568680  0.029942494  7.841052e-02
##  [7,] -0.0190501779 -0.036419264 -0.07346626 -0.140630141 -1.292610e-01
##  [8,] -0.1222384539 -0.137554154 -0.13961768 -0.120112432 -4.079854e-03
##  [9,] -0.0287724798 -0.102476804 -0.18687456 -0.192556589 -1.464402e-01
## [10,] -0.0324928656 -0.084131231 -0.08777257 -0.134184867 -9.735390e-02
## [11,] -0.2359064896 -0.178014950 -0.13209808  0.016367855  9.366909e-02
## [12,] -0.1245243136 -0.100629856 -0.10324011 -0.071194444 -3.408013e-02
## [13,] -0.0536802260  0.004568935  0.03204123  0.010335991  4.678593e-03
## [14,]  0.0749833800  0.017064096 -0.04099602 -0.010628202  7.563332e-02
## [15,] -0.0327904282 -0.042872935 -0.11915880  0.057761015  1.747782e-01
## [16,] -0.0263244150 -0.025326116 -0.03959388 -0.097910257 -3.766755e-02
## [17,] -0.0023080515 -0.080449982 -0.14778130 -0.041008878 -3.781622e-05
## [18,] -0.0632925000 -0.051471954 -0.08585346 -0.059685967  7.391712e-02
## [19,] -0.0510664670 -0.045991028 -0.05609015 -0.163310377  5.712226e-02
## [20,] -0.0722321288 -0.151318355 -0.16709296 -0.102606745  1.542556e-01
## [21,] -0.0580615912 -0.092720598 -0.07673769 -0.132179195  2.824307e-02
## [22,] -0.1151828941 -0.173966488 -0.18581491 -0.080940063  1.089886e-01
## [23,] -0.0005457156 -0.123806673 -0.04368090 -0.050460816  9.999793e-02
## [24,] -0.0168959816 -0.120081044 -0.16170639 -0.172948640 -4.426971e-02
## [25,] -0.0375948699 -0.159150713 -0.11476120  0.007866863  8.679825e-02
## [26,] -0.0658952602 -0.119407199 -0.10435399 -0.141023121  2.139603e-02
## [27,] -0.1228152092 -0.147199774 -0.19342043 -0.139328143  9.330171e-02
## [28,] -0.1019971704 -0.109996569 -0.09308478 -0.162914199 -3.248086e-02
## [29,] -0.1031764252 -0.184049676 -0.20092749  0.010312676  7.778122e-02
## [30,] -0.0645220451 -0.099538867 -0.13625348 -0.144012559  7.676614e-03
## [31,] -0.0962558606 -0.132650156 -0.27057758 -0.165797912  2.000591e-02
## [32,] -0.1187928725 -0.016545200 -0.11595393 -0.098249662 -1.862487e-02
## [33,] -0.0709117003 -0.113727140 -0.33803349 -0.314416296 -1.123839e-01
## [34,] -0.0536284070 -0.120419421 -0.26528371 -0.104483570  6.088653e-03
## [35,] -0.1209319237 -0.057951872 -0.12744776 -0.105981591 -5.559763e-02
## [36,] -0.0845371129 -0.203348419 -0.33658127 -0.296766400  6.758361e-03
## [37,]  0.0837537356 -0.011264878 -0.20036029 -0.268083316 -7.864153e-02
## [38,]  0.1727535015  0.337656491 -0.39041094 -0.388292153 -7.250485e-02
## [39,]  0.4142322531  0.514151440  0.05371699 -0.480304399 -2.734781e-01
## [40,]  0.6969040446  0.839987874  0.67462406 -0.262699689 -3.623794e-01
## [41,]  0.5754393279  0.807322059  0.67292277  0.172841459 -3.159147e-01
## [42,]  0.4958606301  0.849239785  0.89367322  0.598012527 -1.188813e-01
## [43,]  0.0409022007  0.282229324  0.85024434  0.828054802  1.861057e-01
## [44,] -0.2483221540 -0.082079012  0.83342489  0.960843495  2.534562e-01
## [45,] -0.2894303529 -0.071428239  0.52895502  1.046879196  4.799211e-01
## [46,] -0.2174150743 -0.098760967  0.78889885  1.012717017  4.248252e-01
## [47,] -0.2398703447  0.004506965  0.60987599  1.162429172  6.865358e-01
## [48,] -0.0366472446  0.277056353  0.79591393  0.816044898  4.950603e-01
## [49,]  0.2248742497  0.461260882  0.84900944  0.906868475  4.031074e-01
## [50,]  0.6220430741  0.831605623  0.98311458  0.601474370  2.702570e-01
## [51,]  1.0449907515  0.832628773  0.50082938  0.308730919  1.400507e-01
## [52,]  1.0052161855  0.677383857  0.25709651  0.006147671 -1.250069e-01
## [53,]  0.5307133775  0.106910167 -0.14563897 -0.175936707 -1.255067e-01
## [54,]  0.3173482989 -0.274033843 -0.39052534 -0.244130065  2.199889e-02
## [55,]  0.3073631048 -0.060402125 -0.32733231 -0.213793951 -9.828735e-02
## [56,] -0.1045865806 -0.102980922 -0.21431784 -0.207046404  5.524792e-02
## [57,] -0.0550605962 -0.016486846 -0.19771646 -0.103806020  2.178152e-02
## [58,] -0.1408987056 -0.085523152 -0.07536388  0.033272167  6.295762e-02
## [59,] -0.0188158698 -0.046646699 -0.23459984 -0.211008256 -1.057274e-02
## [60,] -0.1265508257 -0.068758169 -0.05520175  0.088088452  1.753768e-01
## [61,] -0.1282660395 -0.081275981 -0.22935551 -0.163716402  1.070145e-01
##               [,29]        [,30]       [,31]       [,32]       [,33]
##  [1,] -0.5080540948 -0.409949322 -0.34130368 -0.30744917 -0.26156102
##  [2,] -0.5080540948 -0.409949322 -0.34130368 -0.30744917 -0.26156102
##  [3,] -0.5080540948 -0.409949322 -0.34130368 -0.30744917 -0.26156102
##  [4,] -0.5080540948 -0.409949322 -0.34130368 -0.30744917 -0.26156102
##  [5,] -0.5080540948 -0.409949322 -0.34130368 -0.30744917 -0.26156102
##  [6,]  0.0815014299  0.117246342  0.13645942  0.14621697  0.19702581
##  [7,] -0.0435078056  0.044914490  0.08840509  0.13706458  0.15684004
##  [8,]  0.0104319712  0.057829601  0.08703943  0.09948572  0.15413183
##  [9,] -0.0781074355 -0.002230788  0.05051636  0.10483050  0.20509184
## [10,] -0.0008429369  0.076500016  0.13559899  0.19865673  0.24257452
## [11,]  0.1354166292  0.191427705  0.19726199  0.16939828  0.16118069
## [12,]  0.0127409791  0.090484813  0.15867256  0.14062995  0.10920288
## [13,]  0.0242239972  0.072353178  0.15803220  0.25298648  0.26105748
## [14,]  0.1500908682  0.184913995  0.20420851  0.21359122  0.28147128
## [15,]  0.1371510108  0.211390824  0.30970321  0.36506259  0.44758981
## [16,]  0.0277683959  0.216950592  0.39443256  0.44759898  0.48560787
## [17,]  0.1450029330  0.333303838  0.45795179  0.47033553  0.50364699
## [18,]  0.1965020499  0.318790296  0.35570260  0.40224707  0.55919356
## [19,]  0.2097985726  0.326443396  0.37453912  0.44954402  0.61461990
## [20,]  0.2694639016  0.411471286  0.49944166  0.52681884  0.56571873
## [21,]  0.1536657489  0.251256027  0.43685920  0.61621583  0.62230659
## [22,]  0.2672203147  0.368702948  0.48402329  0.60975193  0.44703550
## [23,]  0.2596062055  0.374039362  0.40879907  0.32453320  0.03818991
## [24,]  0.1253128995  0.340895065  0.32656419  0.12563400 -0.06896823
## [25,]  0.1924228390  0.344550337  0.13667759 -0.22909010 -0.28071285
## [26,]  0.1826240618  0.192779505 -0.09371875 -0.32251852 -0.28414785
## [27,]  0.1891556130  0.091505558 -0.24246140 -0.43160326 -0.33349451
## [28,]  0.0688942424 -0.007653886 -0.21664038 -0.26483256 -0.15244735
## [29,]  0.0467243412 -0.068660019 -0.31170766 -0.40343746 -0.28604255
## [30,]  0.0172412268 -0.213032542 -0.39544652 -0.32299376 -0.28016663
## [31,]  0.0484991141 -0.251641010 -0.47863811 -0.40539780 -0.22722036
## [32,] -0.1003189055 -0.300722729 -0.32843240 -0.18858002 -0.14153002
## [33,] -0.1612942354 -0.435887826 -0.48226958 -0.32923710 -0.28285099
## [34,] -0.1566915170 -0.410312413 -0.46007888 -0.31982600 -0.20318432
## [35,] -0.2613094956 -0.515359764 -0.40421129 -0.23567539 -0.27889749
## [36,] -0.1018898493 -0.371509094 -0.39271196 -0.29426698 -0.23201779
## [37,] -0.2899602105 -0.541673308 -0.40346503 -0.19802619 -0.19046967
## [38,] -0.2210081767 -0.462002664 -0.34996004 -0.34273765 -0.20025161
## [39,] -0.3720351696 -0.533953123 -0.36016616 -0.24299429 -0.05545995
## [40,] -0.3231780008 -0.347767843 -0.24622862 -0.16570527 -0.15194334
## [41,] -0.3960006483 -0.535914904 -0.41686832 -0.24880198 -0.21362972
## [42,] -0.2916515235 -0.474296407 -0.42732510 -0.22746939 -0.18858155
## [43,] -0.0391599589 -0.217957944 -0.21105431 -0.17208510 -0.21645733
## [44,] -0.0996189907 -0.358615303 -0.32791958 -0.24418249 -0.17215983
## [45,]  0.0936898523 -0.205971262 -0.26575497 -0.25994342 -0.22573733
## [46,] -0.0455512842 -0.194533967 -0.16119564 -0.17630828 -0.18924663
## [47,]  0.1879742936 -0.049886734 -0.26221482 -0.34857989 -0.29601047
## [48,]  0.2509070874  0.064784712 -0.19765686 -0.23875864 -0.13789657
## [49,]  0.1702283455  0.024281613 -0.25615065 -0.21013319 -0.10127486
## [50,]  0.2658876107  0.388341216  0.07681344 -0.17420709 -0.25497120
## [51,]  0.1420165135  0.239784133 -0.04337115 -0.24332732 -0.13347254
## [52,]  0.0962352916  0.283865232  0.11489711 -0.10752769 -0.19627005
## [53,]  0.0625662558  0.274644708  0.26422295  0.05997070 -0.16263935
## [54,]  0.1588875906  0.362774817  0.35371884 -0.03638773 -0.31374185
## [55,]  0.0312746055  0.342031459  0.53337209  0.27148014 -0.06017035
## [56,]  0.2222683386  0.394842193  0.44919653  0.21512077 -0.07656922
## [57,]  0.0453853327  0.227870149  0.50565057  0.50946233  0.18079969
## [58,]  0.1368785567  0.274923065  0.43691727  0.45886355  0.20326773
## [59,]  0.1919858555  0.373317751  0.45580829  0.47823461  0.37847571
## [60,]  0.2271423745  0.387866542  0.51979214  0.62067266  0.49614786
## [61,]  0.2876093680  0.292253378  0.33088849  0.50747327  0.58526328
##              [,34]       [,35]        [,36]       [,37]       [,38]
##  [1,] -0.231707386 -0.20911416 -0.190589293 -0.17656549 -0.17599065
##  [2,] -0.231707386 -0.20911416 -0.190589293 -0.17656549 -0.17599065
##  [3,] -0.231707386 -0.20911416 -0.190589293 -0.17656549 -0.17599065
##  [4,] -0.231707386 -0.20911416 -0.190589293 -0.17656549 -0.17599065
##  [5,] -0.231707386 -0.20911416 -0.190589293 -0.17656549 -0.17599065
##  [6,]  0.222437944 -0.01774630 -0.234581254 -0.18514512  0.61332562
##  [7,]  0.205337666  0.14944783  0.024388864  0.60860181  1.12056409
##  [8,]  0.133953762 -0.06477400  0.231554366  1.03710380  0.81379799
##  [9,]  0.278194904  0.59349914  0.956404082  1.09870157  0.30072415
## [10,]  0.319999297  0.79217696  1.103617377  0.58457048 -0.05726726
## [11,]  0.111025760  0.77519766  1.188501833  0.46289498 -0.01282732
## [12,]  0.103268814  0.53492603  0.978870829  0.68454211  0.45017633
## [13,]  0.250439684  0.25640986  0.692401070  1.05184025  1.15854422
## [14,]  0.363149207  0.29465470  0.429751323  0.69327112  0.86342874
## [15,]  0.469925905  0.30631328  0.312757937  0.46168017  0.59647263
## [16,]  0.535837467  0.74035272  0.463989005  0.37941991  0.53021728
## [17,]  0.598879333  0.53891910  0.545593926  0.54004280  0.38685893
## [18,]  0.736794711  0.58903240  0.504909692  0.45174780  0.17123579
## [19,]  0.734814080  0.65293424  0.337780837 -0.03314276 -0.26397344
## [20,]  0.576144529  0.30417129  0.058449731 -0.19481425 -0.33033820
## [21,]  0.521237797  0.10319798 -0.143021901 -0.34559551 -0.29673263
## [22,]  0.076805457 -0.26133715 -0.322797956 -0.34749010 -0.27867727
## [23,] -0.282542789 -0.22479940 -0.217622012 -0.25067185 -0.21286763
## [24,] -0.234308598 -0.26180427 -0.215457644 -0.19913126 -0.16594576
## [25,] -0.202370846 -0.10305473 -0.082601809 -0.07864276 -0.09713498
## [26,] -0.159403924 -0.21735771 -0.218615233 -0.17694749 -0.14409353
## [27,] -0.266075554 -0.02784363 -0.096310301 -0.12458328 -0.13267327
## [28,] -0.033131671 -0.14230050 -0.231799422 -0.20816413 -0.20966791
## [29,] -0.197612194 -0.09290296 -0.146239369 -0.10822213 -0.14486060
## [30,] -0.270903930 -0.24135667 -0.224001324 -0.11409971 -0.01970957
## [31,] -0.071599921 -0.14272727 -0.124072370 -0.08021403 -0.04965736
## [32,] -0.140468542 -0.14754632 -0.210850092 -0.11210950 -0.07727172
## [33,] -0.260408236 -0.15140106 -0.159644120 -0.17969430 -0.14269711
## [34,] -0.085860153 -0.10658657 -0.187028509 -0.22224088 -0.09870626
## [35,] -0.195848316 -0.15528155 -0.204937004 -0.29574982 -0.11998365
## [36,] -0.050495543 -0.11915561 -0.252779718 -0.29733487 -0.19056222
## [37,] -0.005969382 -0.01902243 -0.129118712 -0.19745556 -0.24903166
## [38,] -0.288756696 -0.09222140 -0.166479450 -0.16480842 -0.18235264
## [39,] -0.085332356 -0.09869278 -0.217071186 -0.23712131 -0.14702001
## [40,] -0.192303537  0.01750013 -0.090244841 -0.09355747 -0.04495900
## [41,] -0.118218008 -0.13732813 -0.151439282 -0.04661203  0.06990913
## [42,] -0.127065495 -0.26420616 -0.146775044 -0.04795850  0.06182993
## [43,] -0.215804337 -0.10582180 -0.085811431 -0.10893822 -0.03792191
## [44,] -0.058377162 -0.10174588 -0.165864507 -0.23567590 -0.15852224
## [45,] -0.207617683 -0.17704466 -0.123936137 -0.13902310 -0.14244914
## [46,] -0.036458254 -0.11838732 -0.155195885 -0.20917607 -0.18599603
## [47,] -0.142114452 -0.10381180 -0.006534036 -0.01399881 -0.10704679
## [48,] -0.156969943 -0.19568248 -0.074766315  0.02678584 -0.06862393
## [49,] -0.086875924 -0.10434514 -0.111674736 -0.07335140 -0.11942990
## [50,] -0.335035910 -0.15166902 -0.112908901 -0.16436257 -0.16439890
## [51,]  0.014679255 -0.13807661 -0.131967498 -0.06029265 -0.01038304
## [52,] -0.093214873 -0.09085328 -0.078389950 -0.05261790 -0.07008476
## [53,] -0.252211569 -0.15522093 -0.098081069 -0.10834537 -0.14639877
## [54,] -0.244498709 -0.20928966 -0.203786085 -0.19354313 -0.17892310
## [55,] -0.175921089 -0.17313398 -0.172137900 -0.18471512 -0.24137423
## [56,] -0.240057802 -0.16767521 -0.164965310 -0.16430537 -0.19687582
## [57,] -0.173390516 -0.09692870 -0.201510296 -0.23024099 -0.20043834
## [58,] -0.143753186 -0.21727334 -0.235903084 -0.21099187 -0.10732708
## [59,]  0.183951859 -0.25145784 -0.240583479 -0.16146160 -0.07887735
## [60,]  0.174109218 -0.03832642 -0.197603289 -0.25942133 -0.23472959
## [61,]  0.378527380  0.08302814 -0.140915948 -0.28640677 -0.13831963
##               [,39]        [,40]        [,41]        [,42]        [,43]
##  [1,] -0.1733153263 -0.157596057 -0.138757525 -0.134479579 -0.129849219
##  [2,] -0.1733153263 -0.157596057 -0.138757525 -0.134479579 -0.129849219
##  [3,] -0.1733153263 -0.157596057 -0.138757525 -0.134479579 -0.129849219
##  [4,] -0.1733153263 -0.157596057 -0.138757525 -0.134479579 -0.129849219
##  [5,] -0.1733153263 -0.157596057 -0.138757525 -0.134479579 -0.129849219
##  [6,]  1.1214677407  1.160861349  0.758187126  0.494290607  0.444329191
##  [7,]  0.8245025748  0.387101182  0.127651737  0.226119556  0.171596291
##  [8,]  0.1582607554  0.124856573  0.273432481  0.351704827  0.132442627
##  [9,] -0.1535494924  0.037483759  0.256292130  0.132808043  0.177549254
## [10,]  0.0930702531  0.007111035  0.070394754  0.205734959  0.436287118
## [11,]  0.3158770198  0.174446579  0.230057244  0.594227714  0.849708937
## [12,]  0.6102419608  0.759423032  0.908513575  1.160688585  1.253061113
## [13,]  1.0967054692  1.231619016  1.111992878  0.984386210  0.875876555
## [14,]  0.8508033672  0.872580065  0.822528968  0.705671230  0.390511030
## [15,]  0.5854400809  0.520541767  0.333537555  0.161211573  0.041919779
## [16,]  0.5820063118  0.391198454  0.039824584 -0.261531342 -0.333405597
## [17,]  0.1169067586 -0.180019798 -0.325695083 -0.327584226 -0.295036899
## [18,] -0.2214033082 -0.378769268 -0.331064650 -0.276845793 -0.166980871
## [19,] -0.2983944036 -0.187453177 -0.187855206 -0.319925837 -0.117040427
## [20,] -0.3172304896 -0.261384658 -0.191563899 -0.146333733 -0.126776052
## [21,] -0.1702314325 -0.154508480 -0.190988249 -0.187621726 -0.067396046
## [22,] -0.1514647757 -0.194612874 -0.240651822 -0.121595345 -0.099752261
## [23,] -0.1148732758 -0.179605463 -0.203767115 -0.072217648 -0.155032757
## [24,] -0.1016490595 -0.094845490 -0.089877323 -0.025194308 -0.048929187
## [25,] -0.1269289080 -0.221904895 -0.283796379 -0.251706244 -0.096612678
## [26,] -0.0785270003 -0.058671520 -0.063228304 -0.063061978 -0.136424157
## [27,] -0.1464169220 -0.105923942 -0.107985031 -0.198959463 -0.085203120
## [28,] -0.2284916782 -0.134217835 -0.066237708 -0.120014783 -0.111878262
## [29,] -0.2121003637 -0.137321937 -0.071725242 -0.087627829 -0.097186087
## [30,] -0.0324016393 -0.139518399 -0.228605905 -0.170905386  0.069386457
## [31,] -0.0628721956 -0.083059816 -0.083460449 -0.086524600 -0.137064244
## [32,] -0.1460777392 -0.089827751 -0.000737399 -0.028490972 -0.024463818
## [33,] -0.1005637640 -0.076533229 -0.073330579 -0.038887847  0.110650319
## [34,]  0.0157287396 -0.098209142 -0.174638246 -0.106334312 -0.022918912
## [35,]  0.1128741786  0.020844938 -0.141405098 -0.094724695 -0.060125707
## [36,]  0.0047989982  0.115639689  0.007410459 -0.124687400 -0.072683224
## [37,] -0.0933390585  0.170319741  0.069805196 -0.218543596 -0.215231816
## [38,] -0.2855340977 -0.156707820  0.033845113 -0.161426227 -0.041209370
## [39,] -0.1198232441  0.087656222  0.300994426  0.111346880  0.029297921
## [40,] -0.1050195695 -0.052191240  0.044427458 -0.085245463 -0.141550096
## [41,] -0.1077842924 -0.208538904 -0.139121879 -0.176114960 -0.101154202
## [42,] -0.0002325669 -0.106856448 -0.065280546 -0.084994484 -0.019977238
## [43,] -0.0281527788 -0.090896338 -0.093848559 -0.149249278 -0.122358794
## [44,] -0.1207122423 -0.121912802 -0.087058704 -0.092981988 -0.100347391
## [45,] -0.1716213422 -0.202434916 -0.146135643 -0.148128699 -0.107459321
## [46,] -0.0500115805  0.026429990 -0.071633708 -0.182988675 -0.094348345
## [47,] -0.1838042888 -0.211246766 -0.146177386 -0.014449547 -0.004282555
## [48,] -0.2348780086 -0.179086639  0.034288928  0.248545578  0.088386327
## [49,] -0.1322644543 -0.122597450 -0.032587000  0.082425653 -0.209579576
## [50,] -0.0336234770  0.018159154 -0.091935637 -0.135752771  0.212064283
## [51,]  0.0486281946  0.030699641 -0.038205654 -0.057264950 -0.013229699
## [52,] -0.1226197056 -0.154953591 -0.179026165 -0.189303640 -0.073207029
## [53,] -0.1371506028 -0.084228477 -0.049654737 -0.008524389 -0.153722875
## [54,] -0.1726073139 -0.203661671 -0.015421942  0.350902935 -0.053711353
## [55,] -0.2349421922 -0.001100948  0.255698663  0.371875637 -0.124832135
## [56,] -0.1663185765 -0.103826969 -0.062990958 -0.113878131 -0.225139125
## [57,] -0.1629974189 -0.124487906 -0.082604182 -0.081199542 -0.084717022
## [58,] -0.0524925975 -0.071408963 -0.088464630 -0.043449465 -0.074804462
## [59,] -0.0720905025 -0.118061591 -0.237207684 -0.262709051 -0.160871718
## [60,] -0.1738405763 -0.115839681 -0.107735723 -0.045560141 -0.148806730
## [61,] -0.0456988365 -0.142565107 -0.193391228 -0.147001623 -0.108369947
##              [,44]        [,45]        [,46]         [,47]       [,48]
##  [1,] -0.134134456 -0.121399097 -0.114716041 -0.0978825776 -0.08708417
##  [2,] -0.134134456 -0.121399097 -0.114716041 -0.0978825776 -0.08708417
##  [3,] -0.134134456 -0.121399097 -0.114716041 -0.0978825776 -0.08708417
##  [4,] -0.134134456 -0.121399097 -0.114716041 -0.0978825776 -0.08708417
##  [5,] -0.134134456 -0.121399097 -0.114716041 -0.0978825776 -0.08708417
##  [6,]  0.253857241  0.465722039  0.363783054  0.4456701181  0.40586928
##  [7,]  0.333644997  0.423103642  0.077757096  0.1960005577  0.42663068
##  [8,]  0.274017119  0.309112416  0.230625290  0.3115367307  0.54429897
##  [9,]  0.204493417  0.166127273  0.416838498  0.7295801177  0.86938823
## [10,]  0.629206557  0.711754352  1.117057310  1.3982143394  1.39490435
## [11,]  1.195870273  1.233511083  1.327263982  1.2052821282  0.88117765
## [12,]  1.274379254  0.940196215  0.685494350  0.2347118680 -0.06803560
## [13,]  0.665075723  0.291526896  0.040862811 -0.2051522153 -0.33249137
## [14,]  0.061629992 -0.189371474 -0.323682725 -0.4421375069 -0.42954207
## [15,] -0.222888858 -0.352409343 -0.368286765 -0.2402626173 -0.15809592
## [16,] -0.354842791 -0.263800612 -0.199595876 -0.3207010839 -0.30257870
## [17,] -0.358786674 -0.304770291 -0.179415006 -0.1485713981 -0.14137735
## [18,] -0.242952150 -0.240402741 -0.209953373 -0.1319260409 -0.10233240
## [19,] -0.173914391 -0.117295350 -0.111182640 -0.1984196498 -0.21131066
## [20,] -0.222242116 -0.202387918 -0.196311833 -0.0628483706  0.02036630
## [21,] -0.052951041  0.003467002  0.030225384 -0.1025832741 -0.10784399
## [22,] -0.090606929 -0.009566688  0.064974668  0.0141313794 -0.01765881
## [23,] -0.186634002 -0.096219895  0.066382067  0.0021813017 -0.03238387
## [24,] -0.043948566 -0.104936877 -0.041776324 -0.0516580809 -0.08933861
## [25,] -0.128639679 -0.169282630 -0.139768833 -0.1330824775 -0.11736832
## [26,] -0.090861235 -0.111640829 -0.054933620 -0.0455879691 -0.06391791
## [27,]  0.073996423  0.015474060 -0.075441000  0.0093990309 -0.10314129
## [28,] -0.032764941 -0.111838161 -0.143362635 -0.0787887819 -0.07141565
## [29,]  0.106711599  0.041682533 -0.084480567 -0.0147665285 -0.12167385
## [30,]  0.210561352  0.053679763 -0.206411940 -0.0154383217 -0.02637951
## [31,] -0.144636888 -0.083456524 -0.057832791  0.0207129363 -0.00255944
## [32,] -0.072558665 -0.090149693 -0.082050369 -0.1109319328 -0.08255830
## [33,]  0.142503054 -0.028977777 -0.207059491 -0.0804655111 -0.12079387
## [34,]  0.046904409  0.027415859 -0.016267400  0.0122304863 -0.03691697
## [35,] -0.051570277  0.093324320  0.169950212 -0.0849704806 -0.04694013
## [36,] -0.063668627  0.087571162  0.160142196 -0.0928017400 -0.13164017
## [37,] -0.159093304 -0.021587288  0.119774197 -0.0201813474 -0.08753457
## [38,] -0.119492288 -0.039739714 -0.132686548 -0.2266719426 -0.09678070
## [39,]  0.056892695 -0.145594776 -0.094714433  0.0705608769  0.02830662
## [40,] -0.025172765 -0.072087467 -0.061553811 -0.0782632983 -0.05785237
## [41,] -0.053027961  0.252608052  0.540013809 -0.0696296005 -0.09992980
## [42,] -0.177950196 -0.026531050  0.222301671 -0.1386758151  0.02137063
## [43,] -0.001865198 -0.040211563 -0.008523700  0.0241115197 -0.01544150
## [44,]  0.017982022 -0.088677048 -0.145929542 -0.0280317735  0.05064503
## [45,] -0.194405387 -0.108886075 -0.093971807 -0.0174402038  0.12104265
## [46,] -0.067144159 -0.089142718 -0.061183012  0.0957871654  0.19232282
## [47,] -0.052642984 -0.008849423 -0.120658636 -0.0912784390 -0.07594829
## [48,] -0.032488609 -0.088123576 -0.110457582  0.0172111761 -0.02699554
## [49,] -0.277472866 -0.200853354 -0.106310756 -0.0535283478 -0.10814185
## [50,]  0.058451149 -0.016758399 -0.076502455 -0.1002049585 -0.14482819
## [51,] -0.125995269 -0.207372269 -0.276350264  0.0003721403  0.04792445
## [52,] -0.034584789  0.029113511 -0.008553788 -0.0427577085 -0.05733384
## [53,] -0.013487908  0.030857924 -0.116905842 -0.1015952803 -0.06681259
## [54,] -0.153054855 -0.148886531 -0.158502980 -0.0278712564  0.01077564
## [55,] -0.155312814 -0.172755410 -0.095565462 -0.1111084230 -0.12905296
## [56,] -0.170000656 -0.121958575 -0.094345644 -0.1183921033 -0.11224854
## [57,] -0.105345664 -0.093265667 -0.125627912 -0.1502612565 -0.17584042
## [58,] -0.041576622 -0.086252041 -0.136342414 -0.1362578007 -0.18749145
## [59,] -0.167485662 -0.134160611 -0.090921455 -0.0084622471  0.01756270
## [60,] -0.169247658 -0.109711260 -0.107594125 -0.0821953532 -0.08508613
## [61,] -0.104189549 -0.071340995 -0.138851035 -0.1343798482 -0.15155167
##              [,49]       [,50]        [,51]       [,52]        [,53]
##  [1,] -0.106456575 -0.10377123 -0.145676507 -0.14061348 -0.129553184
##  [2,] -0.106456575 -0.10377123 -0.145676507 -0.14061348 -0.129553184
##  [3,] -0.106456575 -0.10377123 -0.145676507 -0.14061348 -0.129553184
##  [4,] -0.106456575 -0.10377123 -0.145676507 -0.14061348 -0.129553184
##  [5,] -0.106456575 -0.10377123 -0.145676507 -0.14061348 -0.129553184
##  [6,]  0.257225549  0.36565935  0.378312463  0.54750349  0.771126528
##  [7,]  0.442007915  0.37614129  0.503165233  0.86839925  1.392810444
##  [8,]  0.884831728  1.00355933  1.395226284  1.47711567  1.399199350
##  [9,]  1.300726497  1.59058742  1.255104419  0.90069353  0.494611044
## [10,]  1.282505638  0.93016340  0.484872737  0.16394220 -0.127186602
## [11,]  0.435495854 -0.05294842 -0.268844614 -0.46895518 -0.488721151
## [12,] -0.251801089 -0.24454715 -0.277461783 -0.36069113 -0.292387169
## [13,] -0.483059769 -0.50953218 -0.470018237 -0.49277953 -0.434325245
## [14,] -0.343779740 -0.30003431 -0.234734452 -0.14282384 -0.154634465
## [15,] -0.170163174 -0.24197456 -0.203739885 -0.20813261 -0.245158898
## [16,] -0.232222389 -0.21523513 -0.247671335 -0.20629036 -0.144283230
## [17,] -0.148808042 -0.18765728 -0.080607246 -0.20761492 -0.193714781
## [18,] -0.141444525 -0.20216873 -0.143846785 -0.17730498 -0.043245383
## [19,] -0.144058743 -0.09274879 -0.104067022 -0.10867834 -0.130043740
## [20,] -0.016116298 -0.15922691 -0.165040856 -0.08967476 -0.048615492
## [21,] -0.117574743 -0.16787849 -0.182905695 -0.04947548 -0.125050921
## [22,]  0.080292127  0.05822644 -0.075925314 -0.16440003 -0.201402767
## [23,]  0.076171278 -0.05392408 -0.129756111 -0.05497804 -0.024181013
## [24,] -0.027357746 -0.02409577 -0.195681541 -0.19207286  0.070970982
## [25,]  0.026358721 -0.03459070 -0.078448346 -0.17942745  0.197379368
## [26,] -0.050037075 -0.18551105 -0.137706668 -0.20347876  0.155686085
## [27,] -0.100546373 -0.14439072 -0.272205353 -0.16054281  0.159611061
## [28,] -0.033318139 -0.03691454 -0.099238186  0.06998676  0.311236476
## [29,] -0.169640431 -0.12954906 -0.130500030  0.04099371  0.241049314
## [30,] -0.081379413 -0.05580920 -0.144391539 -0.19261698 -0.128367013
## [31,]  0.002263399 -0.07845897  0.009175478 -0.13855362 -0.156671627
## [32,] -0.010737588 -0.07223887 -0.097127876 -0.09305951 -0.070386535
## [33,] -0.126613028 -0.02119511 -0.041375975 -0.16576562 -0.145045697
## [34,] -0.100317988 -0.09487501  0.017554133 -0.10722268 -0.127514864
## [35,] -0.040947026 -0.13902024  0.345698549  0.05526048 -0.178291878
## [36,] -0.055379346 -0.06567434  0.254412560  0.05048899 -0.215104313
## [37,] -0.105999079  0.12581524  0.537082003  0.39211382 -0.174767239
## [38,]  0.182694160  0.19240828  0.567832871  0.65313031  0.260541587
## [39,] -0.168375099 -0.16394730 -0.068210181  0.36132979  0.361924824
## [40,] -0.161712843 -0.07015857 -0.274477452 -0.10185378 -0.007916220
## [41,] -0.084561449 -0.19426135 -0.055229118 -0.11827181 -0.046000861
## [42,]  0.177937746  0.08698842 -0.149642438 -0.22888246 -0.113303769
## [43,] -0.181444862 -0.17870867 -0.267210231 -0.01254035 -0.006266271
## [44,]  0.070493286  0.22101918 -0.023067502  0.38432045  0.433283145
## [45,]  0.214490846  0.12926635  0.136696418  0.21379854 -0.007307317
## [46,]  0.036643178 -0.05406313 -0.248199399 -0.14576078 -0.089368959
## [47,] -0.168723416 -0.14454388 -0.072324271 -0.17169319 -0.236686917
## [48,] -0.173223859 -0.20384854 -0.110029121 -0.19948453 -0.076618923
## [49,] -0.007261673  0.36322772  0.207340684 -0.08803168 -0.166994115
## [50,] -0.019480631  0.35432943  0.305821873 -0.12664664 -0.254235104
## [51,] -0.057399773  0.03022552 -0.081949910 -0.15671035 -0.135164970
## [52,] -0.152839701 -0.12939429 -0.100576661 -0.10875019 -0.126593776
## [53,] -0.095841338 -0.04329927 -0.163444038 -0.04263194 -0.125982987
## [54,] -0.015393364 -0.09522408 -0.012379978 -0.15622969 -0.183411061
## [55,] -0.136450902 -0.12617423 -0.236380870  0.02824030  0.040323680
## [56,] -0.042027938  0.04686499  0.432421427  0.48601169  0.182993725
## [57,] -0.125977245 -0.02488141  0.063486204  0.12115228 -0.009279581
## [58,] -0.194421451 -0.11566331 -0.100603567  0.02502899 -0.005861460
## [59,] -0.007192490 -0.05613423 -0.159814966 -0.21195868 -0.239245479
## [60,] -0.098166338 -0.15338026 -0.111764491 -0.07057239 -0.035425313
## [61,] -0.096058937 -0.09174409 -0.149221758 -0.03188491 -0.110218585
##             [,54]        [,55]         [,56]        [,57]        [,58]
##  [1,] -0.12427436 -0.072053440 -0.0924622312 -0.093900976 -0.076688226
##  [2,] -0.12427436 -0.072053440 -0.0924622312 -0.093900976 -0.076688226
##  [3,] -0.12427436 -0.072053440 -0.0924622312 -0.093900976 -0.076688226
##  [4,] -0.12427436 -0.072053440 -0.0924622312 -0.093900976 -0.076688226
##  [5,] -0.12427436 -0.072053440 -0.0924622312 -0.093900976 -0.076688226
##  [6,]  0.99908007  1.413634672  1.7067030022  1.602074961  1.230227192
##  [7,]  1.55214098  1.504818366  1.1111406467  0.614452609  0.158901707
##  [8,]  1.03813148  0.525167791  0.0539653048 -0.149686697 -0.266781815
##  [9,]  0.04033355 -0.250014069 -0.3395914313 -0.166745529 -0.059140370
## [10,] -0.29603865 -0.245670083 -0.2688355405 -0.187022654 -0.123513287
## [11,] -0.41267721 -0.288790386 -0.2015974849 -0.101719387 -0.048775376
## [12,] -0.24889049 -0.182662824 -0.2692875861 -0.177749734 -0.065679927
## [13,] -0.35070365 -0.302420401 -0.3549008736 -0.210293995 -0.046500086
## [14,] -0.19658474 -0.070855418 -0.0241980620 -0.120298958 -0.156766875
## [15,] -0.24352510 -0.138494626 -0.1188925366 -0.122806986 -0.041918283
## [16,] -0.07106046 -0.039122556 -0.0315467776 -0.016416973 -0.068761099
## [17,] -0.17392990 -0.221063176 -0.1043558027 -0.020700743 -0.040149863
## [18,]  0.01269647 -0.005991295  0.0164365226  0.003573590 -0.083248893
## [19,] -0.15896847 -0.085978943 -0.0962589522  0.010978710  0.019830140
## [20,] -0.04482096  0.052221878  0.0390434976 -0.007053750  0.017781238
## [21,] -0.09429576 -0.006116159 -0.0682855316 -0.069003711 -0.030617814
## [22,] -0.01557595  0.000667500 -0.0206901723 -0.026145827  0.081451458
## [23,]  0.01941000 -0.117854000 -0.0601323683 -0.015631913 -0.055373635
## [24,]  0.14746391 -0.101435464  0.0285089321  0.001325655  0.076112191
## [25,]  0.21563278 -0.102312763 -0.0008397851 -0.079115792  0.029059849
## [26,]  0.23008487 -0.092312873 -0.0731174547 -0.114177989 -0.010191781
## [27,]  0.17936008 -0.068704815  0.0492162208  0.013236494 -0.001126517
## [28,]  0.21869015 -0.068111897 -0.0262812455 -0.061144612 -0.045407806
## [29,]  0.20001441 -0.053716434 -0.1480948311 -0.144805977 -0.062698850
## [30,]  0.05046807  0.104262349  0.0269562883 -0.022016628 -0.101295350
## [31,] -0.09548352 -0.056123522 -0.0539322280  0.054443973  0.085305182
## [32,] -0.01904386 -0.028177694 -0.0030503886 -0.056091289 -0.093047110
## [33,] -0.08692460 -0.085042116 -0.0237136811  0.108183196  0.144489716
## [34,]  0.01220250  0.043979500 -0.0376038512 -0.004677225  0.015899195
## [35,] -0.11736598 -0.093568386 -0.2009579755 -0.043008613 -0.035894277
## [36,] -0.05444766  0.054541707 -0.0918256009  0.048240052 -0.003773801
## [37,] -0.16326461 -0.123218030 -0.1502230871  0.248159102  0.071975229
## [38,] -0.19892666 -0.071186371  0.0498186792 -0.062984781 -0.083346973
## [39,] -0.03063234 -0.182175493 -0.1370324216 -0.054530200  0.085392947
## [40,] -0.06260052 -0.025371589 -0.0140185258  0.002650527 -0.014671025
## [41,]  0.08807458  0.114805179 -0.0262098874 -0.025864682  0.019026171
## [42,] -0.04202706 -0.011631453 -0.0354656299 -0.073351925  0.012959017
## [43,] -0.09997956 -0.099737057 -0.0220522775 -0.030266534 -0.047816781
## [44,]  0.04928115 -0.075255847 -0.1234048281 -0.088554039  0.065540550
## [45,] -0.17141366  0.065731108 -0.0045774918 -0.149494423 -0.073742071
## [46,] -0.01999477  0.043314552 -0.0580296081 -0.041503540  0.101913637
## [47,] -0.00774586  0.210409646  0.1743369474  0.031021038 -0.126769089
## [48,]  0.03401056  0.052186015 -0.1029543267 -0.115766671 -0.053113874
## [49,] -0.03906322 -0.020382079 -0.0687210481 -0.001096540  0.019119679
## [50,] -0.12540090 -0.046206294  0.0339870397  0.045066423 -0.047869091
## [51,] -0.10659102 -0.049518352 -0.1184029979 -0.065436819  0.016485940
## [52,] -0.05480712  0.045462098  0.0370609514  0.022343220 -0.021770742
## [53,] -0.14569662  0.012867195 -0.0084748412 -0.065615809  0.002776126
## [54,] -0.08935506  0.173197989  0.0443906431 -0.089750225 -0.011846948
## [55,] -0.10230259 -0.204263707 -0.1600622634 -0.067720321  0.014147617
## [56,] -0.01501271 -0.116561585  0.2543457808  0.135056785 -0.196951348
## [57,] -0.02732468 -0.025627531  0.4197967488  0.331658899  0.103758042
## [58,] -0.02234485 -0.103340454  0.1622686482  0.125074783  0.040133557
## [59,] -0.11303935 -0.107360888 -0.0188362895  0.027319365  0.062628702
## [60,] -0.02802972 -0.113742745 -0.0689831634 -0.035335748  0.094085320
## [61,] -0.11981398  0.023119025 -0.0102258490 -0.071767264 -0.066998517
##              [,59]         [,60]         [,61]
##  [1,] -0.076440544 -0.0821975598 -0.1085181922
##  [2,] -0.076440544 -0.0821975598 -0.1085181922
##  [3,] -0.076440544 -0.0821975598 -0.1085181922
##  [4,] -0.076440544 -0.0821975598 -0.1085181922
##  [5,] -0.076440544 -0.0821975598 -0.1085181922
##  [6,]  0.599733754  0.1921614845 -0.0423587391
##  [7,]  0.071698236 -0.0057793807  0.0605115786
##  [8,] -0.204537085 -0.1229262338  0.0221248644
##  [9,] -0.004113906 -0.0313026857 -0.0437546522
## [10,]  0.068831533  0.0294964503 -0.0236097874
## [11,] -0.021158415 -0.0151732674  0.0082720713
## [12,] -0.032734082  0.0000349565 -0.0382188467
## [13,]  0.016961980  0.0853508205 -0.0460808060
## [14,] -0.103666584 -0.0066998112  0.0259456051
## [15,]  0.100085763  0.0562854130 -0.0296867141
## [16,] -0.092038167 -0.0050190771  0.0555556862
## [17,]  0.018060043 -0.0161865139  0.0376885826
## [18,]  0.041125988  0.0251595578 -0.0094440388
## [19,] -0.051344282  0.0456907216  0.0121888429
## [20,] -0.007706110  0.0179527780 -0.0055779668
## [21,] -0.046361369 -0.0289526425 -0.0466604918
## [22,] -0.067612462 -0.1020432278  0.1491118736
## [23,] -0.049513812  0.1744164135  0.8463621777
## [24,]  0.046077683  0.0002494471  0.1366944571
## [25,]  0.006004102  0.0174296752  0.1054626062
## [26,] -0.087497908 -0.0728946440 -0.1039825255
## [27,] -0.026656805  0.0077804306  0.0457346607
## [28,]  0.069890297  0.0709248876 -0.0610428730
## [29,] -0.081427099 -0.0729788577 -0.1207237336
## [30,] -0.048105732 -0.0469495315 -0.0377960795
## [31,]  0.050468070  0.0116872623  0.0002213442
## [32,]  0.018157954  0.0670066008  0.0378784477
## [33,]  0.102075934  0.0629440529  0.0245290644
## [34,]  0.049130220 -0.0094368633 -0.1042452135
## [35,]  0.109213549  0.1668444636  0.1026975507
## [36,] -0.061214672  0.0324316153  0.0677101105
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##  [753]  7.637955e-02  1.477231e-01  1.519815e-01  1.736769e-01
##  [757]  1.872826e-01  9.509726e-02  2.451016e-01  1.778279e-01
##  [761]  9.204070e-02  1.772476e-01  8.225027e-02  1.316596e-01
##  [765]  1.066669e-01  1.719881e-01 -2.024273e-02  1.549323e-01
##  [769]  4.086534e-02  2.653804e-02 -3.382765e-02 -1.082157e-01
##  [773] -1.059669e-01  1.810068e-02 -4.929236e-02  5.264388e-02
##  [777] -3.558777e-02 -3.864101e-02  1.971602e-01 -1.243181e-01
##  [781]  5.693027e-02 -2.924870e-03  1.332216e-02 -1.654939e-02
##  [785]  4.273147e-02  1.055789e-01  4.089811e-02  2.325636e-01
##  [789]  1.462241e-01  1.245742e-01  1.241446e-01 -1.034473e-01
##  [793]  1.360339e-01 -5.795748e-01 -5.795748e-01 -5.795748e-01
##  [797] -5.795748e-01 -5.795748e-01 -7.368926e-02 -2.864076e-02
##  [801] -1.881851e-02 -1.716263e-02  2.374778e-02  7.550463e-02
##  [805]  7.036414e-02 -1.031185e-01  8.727861e-02 -1.861127e-02
##  [809] -8.131063e-02 -6.959975e-03  2.881014e-04 -4.196651e-02
##  [813]  2.117823e-02  1.237606e-01  1.689351e-01  1.663000e-01
##  [817]  1.406374e-01  9.233882e-02  9.018704e-02  1.731037e-01
##  [821]  1.896152e-01  7.487024e-02  1.813570e-01  1.269929e-01
##  [825]  7.991987e-02  1.581852e-01  1.565957e-01  5.195322e-02
##  [829]  1.735327e-01  1.485756e-01  4.359700e-02 -4.528614e-02
##  [833] -7.423349e-02 -1.125104e-01  1.526842e-01 -1.501527e-02
##  [837]  1.378174e-01 -1.578463e-02 -4.844836e-02  1.440252e-01
##  [841] -2.076207e-01  3.395582e-02 -1.375466e-01  2.158436e-02
##  [845]  1.390413e-02  1.326775e-01 -1.748096e-02  1.091879e-01
##  [849]  1.860056e-01  7.639640e-02  1.132359e-01  1.309361e-01
##  [853] -9.278178e-02  1.836314e-01 -5.844517e-01 -5.844517e-01
##  [857] -5.844517e-01 -5.844517e-01 -5.844517e-01 -7.440050e-02
##  [861] -2.859218e-02  3.795937e-03 -1.540411e-02 -2.854404e-02
##  [865]  5.989894e-02  7.962464e-02 -1.186095e-01  3.710968e-02
##  [869]  4.851667e-03 -8.434927e-03 -4.436509e-02 -1.586544e-02
##  [873]  3.224019e-02  1.259511e-01  1.035725e-01  1.827947e-01
##  [877]  1.183424e-01  1.438852e-01  1.030867e-01  1.593260e-01
##  [881]  1.426761e-01  1.747038e-01  1.139794e-01  9.762177e-02
##  [885]  8.361528e-02  6.864633e-02  1.868035e-01  1.687455e-01
##  [889]  1.353512e-01  1.676577e-01  1.788356e-01  3.020276e-02
##  [893] -3.276565e-02 -8.966782e-02 -1.742813e-01  1.048176e-01
##  [897] -7.663365e-02  7.364104e-02 -5.667318e-02  4.593902e-02
##  [901]  1.545468e-01 -1.264212e-01  1.005443e-01 -1.605171e-01
##  [905]  4.835782e-02 -3.854118e-02  1.122917e-01 -4.760513e-02
##  [909]  1.496908e-01  9.325623e-02  1.270537e-01  1.055936e-01
##  [913]  4.483802e-02  9.509952e-02  1.005921e-01 -5.841743e-01
##  [917] -5.841743e-01 -5.841743e-01 -5.841743e-01 -5.841743e-01
##  [921] -4.992549e-02 -5.862983e-02  3.842059e-02  8.119010e-03
##  [925] -5.240957e-02  4.728682e-02  5.618257e-02 -1.174856e-01
##  [929] -8.322618e-03  3.780783e-02  5.642160e-02 -1.974692e-02
##  [933] -2.359204e-02  5.921291e-02  1.853707e-01  6.572950e-02
##  [937]  2.109551e-01  5.400227e-02  1.633425e-01  1.566663e-01
##  [941]  2.417063e-01  1.178905e-01  1.191757e-01  1.288594e-01
##  [945] -6.986779e-03  3.205719e-02  4.119280e-02  1.888953e-01
##  [949]  1.579104e-01  1.701920e-01  1.102549e-01  9.952587e-02
##  [953]  8.664485e-02  8.764734e-02 -7.101576e-02 -1.322753e-01
##  [957]  8.249198e-03 -5.880792e-02 -1.907780e-03 -5.719085e-02
##  [961]  1.016711e-01  5.303783e-02 -3.316647e-02  9.486385e-02
##  [965] -1.451000e-01  1.266662e-02 -7.625071e-02  4.285738e-02
##  [969] -3.608975e-03  1.301184e-01  6.386792e-02  2.239704e-01
##  [973]  1.341605e-01 -3.104189e-02  2.663628e-01  1.503999e-02
##  [977] -5.925591e-01 -5.925591e-01 -5.925591e-01 -5.925591e-01
##  [981] -5.925591e-01 -2.444972e-02 -6.928251e-02 -2.804072e-02
##  [985]  8.564981e-03 -3.515891e-02  5.288558e-03  4.607701e-02
##  [989] -1.096193e-01 -5.995886e-02 -1.918472e-02  2.772966e-02
##  [993]  7.046351e-02 -1.025927e-02  4.179528e-02  1.464206e-01
##  [997]  7.366182e-02  2.100102e-01 -2.203941e-02  1.207087e-01
## [1001]  9.387495e-02  2.477696e-01  3.879752e-02  6.072647e-02
## [1005]  7.820849e-02  2.820084e-02  1.046575e-01 -1.495265e-02
## [1009]  2.482354e-01  1.410495e-01  2.143129e-01  1.278808e-01
## [1013]  1.678140e-01  1.166034e-01  1.847752e-01 -1.981173e-02
## [1017]  8.150613e-02  1.213084e-01  1.721947e-01  1.047202e-01
## [1021]  7.769997e-02  1.448327e-01 -7.487258e-02 -7.858689e-02
## [1025] -5.378093e-02 -2.341029e-01 -1.105975e-01 -1.982464e-02
## [1029]  1.336425e-03 -2.447720e-02  9.940260e-02  8.110144e-02
## [1033]  1.641881e-01  1.359954e-01  1.540871e-02  1.679972e-01
## [1037]  4.775598e-04 -5.759138e-01 -5.759138e-01 -5.759138e-01
## [1041] -5.759138e-01 -5.759138e-01 -4.240926e-02 -1.051316e-01
## [1045] -9.341221e-02 -4.412239e-02 -6.085673e-02  8.579434e-06
## [1049]  4.339442e-02 -1.572927e-01 -1.193711e-01 -1.247733e-01
## [1053] -3.221069e-02  7.906966e-02 -1.165956e-02 -3.267748e-02
## [1057]  4.581762e-02  8.187247e-02  1.245948e-01 -1.753753e-01
## [1061]  2.811620e-02 -7.092510e-02  1.108879e-01 -1.449833e-01
## [1065] -1.101498e-01 -1.045264e-01 -4.587034e-02  5.504381e-02
## [1069] -1.325079e-01  7.782810e-02 -5.744792e-02  3.982437e-02
## [1073]  1.662498e-02  9.021951e-02  4.080910e-01  5.370940e-01
## [1077]  3.423413e-01  5.642856e-01  5.931182e-01  7.543758e-01
## [1081]  6.172184e-01  5.902263e-01  5.460085e-01  1.040108e-01
## [1085]  8.040829e-02 -1.623407e-01 -3.774249e-01 -3.648955e-01
## [1089] -1.778821e-01 -1.550205e-01 -2.016538e-01  9.030576e-02
## [1093]  3.741765e-02 -2.486924e-02  6.611062e-02  6.430953e-02
## [1097] -1.522948e-01 -2.697043e-02 -5.662048e-01 -5.662048e-01
## [1101] -5.662048e-01 -5.662048e-01 -5.662048e-01  1.329791e-02
## [1105] -2.149050e-01 -1.226854e-02 -1.027015e-01 -1.756613e-01
## [1109]  3.806257e-02 -9.501407e-02 -1.012665e-01 -3.150392e-01
## [1113] -3.869338e-02 -1.315892e-01 -6.581840e-02  9.907560e-02
## [1117] -4.027058e-02 -3.331652e-02 -5.469365e-02 -2.328819e-02
## [1121] -1.565024e-01 -7.143504e-02 -1.449642e-01 -1.435718e-01
## [1125] -1.319882e-01 -3.094379e-01 -2.224801e-01 -1.627678e-01
## [1129] -4.841088e-02 -5.665056e-02 -1.994235e-01 -1.992264e-01
## [1133] -1.025967e-01  4.493607e-03  7.262202e-02  6.982381e-01
## [1137]  8.206864e-01  6.999864e-01  7.841060e-01  6.384089e-01
## [1141]  6.926004e-01  4.836348e-01  7.167010e-01  7.572441e-01
## [1145]  6.440632e-01  7.698056e-01  1.599581e-01  7.829759e-02
## [1149] -2.619492e-01 -4.371972e-01 -4.405795e-01 -2.494589e-01
## [1153] -4.415316e-02 -9.953130e-02 -1.666314e-01 -1.115200e-01
## [1157]  1.123223e-01 -2.176606e-01 -6.991798e-02 -5.422674e-01
## [1161] -5.422674e-01 -5.422674e-01 -5.422674e-01 -5.422674e-01
## [1165]  4.860346e-02 -1.798117e-01 -3.718593e-02 -1.032004e-01
## [1169] -1.159059e-01 -1.002395e-02 -9.260889e-02 -1.583525e-01
## [1173] -1.853735e-01  8.473630e-03 -7.854839e-02 -1.423523e-02
## [1177]  6.481372e-02 -2.597397e-02 -6.232602e-02 -5.025969e-02
## [1181]  2.483625e-02 -1.014191e-01 -2.963317e-02 -1.305020e-01
## [1185] -1.021203e-01 -9.499595e-02 -2.196950e-01 -1.244341e-01
## [1189] -5.690593e-02 -1.011981e-01 -1.578098e-01 -7.298071e-02
## [1193]  1.233217e-02 -1.249440e-01 -9.484358e-02  1.180805e-01
## [1197]  3.996888e-01  9.655907e-01  8.439402e-01  4.872845e-01
## [1201]  2.318124e-01  2.839276e-01 -5.439325e-02 -2.770887e-02
## [1205]  1.150957e-01  1.761122e-01  6.355301e-01  4.520076e-01
## [1209]  6.571153e-01  5.017270e-01  1.410120e-01 -1.705935e-01
## [1213] -1.631977e-01 -2.438787e-01 -9.540953e-02 -7.947232e-02
## [1217] -6.296607e-02  2.002868e-02 -6.805933e-02  1.429161e-02
## [1221] -5.563530e-01 -5.563530e-01 -5.563530e-01 -5.563530e-01
## [1225] -5.563530e-01  3.673015e-02 -8.802116e-02 -1.320631e-01
## [1229] -6.483240e-02 -5.623318e-02 -1.126542e-01 -7.289408e-02
## [1233] -1.310130e-01 -9.923940e-02  4.721501e-03 -3.288825e-02
## [1237]  3.072726e-02  3.159619e-02 -3.083114e-02  2.315515e-04
## [1241] -4.871895e-02  4.186158e-02 -3.149073e-02  1.479301e-02
## [1245] -2.841702e-02 -6.619917e-04  3.146944e-02  1.613067e-02
## [1249]  1.184222e-01 -5.652383e-02  1.270775e-02 -1.401082e-01
## [1253]  6.025048e-03  8.497059e-02 -9.755357e-02 -2.113780e-02
## [1257]  5.795572e-02  1.190893e-01  6.657301e-01  7.564654e-01
## [1261]  5.382874e-01  1.586220e-01  2.849379e-02 -1.550217e-01
## [1265] -7.386026e-03 -6.083088e-02 -9.987685e-02  1.253007e-01
## [1269]  4.136915e-02  2.786119e-02  3.630567e-01  7.255330e-01
## [1273]  9.879314e-01  3.204162e-01 -2.253217e-01 -1.171511e-01
## [1277] -1.983394e-01 -1.179997e-01 -2.142567e-01 -3.035219e-02
## [1281] -9.291564e-02 -5.602777e-01 -5.602777e-01 -5.602777e-01
## [1285] -5.602777e-01 -5.602777e-01 -4.646363e-03 -8.529044e-02
## [1289] -1.268957e-01 -3.824541e-03 -8.156510e-02 -1.922178e-01
## [1293] -8.114047e-02 -1.444242e-01 -5.274972e-02 -3.834084e-02
## [1297] -3.287009e-02 -2.875284e-03  6.467017e-03 -4.954897e-02
## [1301]  1.456285e-02 -8.120352e-02 -3.109736e-03 -4.772447e-02
## [1305] -1.464422e-02 -8.220977e-02 -8.434194e-02 -9.745393e-02
## [1309] -1.175719e-01 -1.102364e-02 -1.908194e-01  4.114024e-02
## [1313] -8.667574e-02 -8.172732e-02  3.397160e-04 -3.439964e-02
## [1317]  3.993977e-02 -5.980582e-02  1.281738e-01  3.921658e-01
## [1321]  7.686002e-01  6.352872e-01  1.096625e-01 -1.214785e-01
## [1325] -1.476039e-01 -3.998785e-03 -1.612550e-01 -9.287418e-02
## [1329]  1.673017e-01  2.531552e-01 -1.481686e-03  2.448724e-01
## [1333]  6.389124e-01  1.066635e+00  1.096681e+00  3.108923e-01
## [1337] -4.861697e-02 -1.762192e-01 -1.860669e-01 -2.033148e-01
## [1341] -3.186382e-02 -4.952551e-02 -5.559485e-01 -5.559485e-01
## [1345] -5.559485e-01 -5.559485e-01 -5.559485e-01 -8.583696e-02
## [1349] -4.166223e-02 -1.293624e-01  1.573379e-02 -3.069585e-02
## [1353] -2.513974e-01 -1.286614e-01 -8.167438e-02  2.241004e-02
## [1357] -6.607516e-02 -1.881157e-02 -1.092013e-03 -3.549723e-02
## [1361] -1.635668e-02 -1.503313e-02 -4.215415e-02 -1.848789e-01
## [1365] -1.348194e-01 -5.460816e-02 -7.011194e-02 -7.848347e-02
## [1369] -9.080607e-02 -6.971614e-02 -1.678387e-02 -1.547196e-01
## [1373] -2.261057e-02 -1.053080e-01 -9.944191e-02 -5.495451e-02
## [1377] -9.044168e-02 -3.007747e-02 -2.607109e-02  6.445922e-02
## [1381]  3.413760e-01  7.120651e-01  5.371311e-01  9.334200e-02
## [1385] -5.843073e-02 -6.095969e-02 -2.517563e-01 -2.442440e-01
## [1389] -3.116486e-01 -4.391710e-02  2.649448e-01  2.966450e-01
## [1393]  6.907169e-01  8.724733e-01  8.305829e-01  1.092194e+00
## [1397]  6.370305e-01  2.052931e-02 -1.104400e-01 -1.819218e-01
## [1401] -8.422976e-02 -8.639245e-02 -4.980744e-02 -5.518443e-01
## [1405] -5.518443e-01 -5.518443e-01 -5.518443e-01 -5.518443e-01
## [1409] -1.458690e-01 -1.905018e-02 -1.222385e-01 -2.877248e-02
## [1413] -3.249287e-02 -2.359065e-01 -1.245243e-01 -5.368023e-02
## [1417]  7.498338e-02 -3.279043e-02 -2.632441e-02 -2.308051e-03
## [1421] -6.329250e-02 -5.106647e-02 -7.223213e-02 -5.806159e-02
## [1425] -1.151829e-01 -5.457156e-04 -1.689598e-02 -3.759487e-02
## [1429] -6.589526e-02 -1.228152e-01 -1.019972e-01 -1.031764e-01
## [1433] -6.452205e-02 -9.625586e-02 -1.187929e-01 -7.091170e-02
## [1437] -5.362841e-02 -1.209319e-01 -8.453711e-02  8.375374e-02
## [1441]  1.727535e-01  4.142323e-01  6.969040e-01  5.754393e-01
## [1445]  4.958606e-01  4.090220e-02 -2.483222e-01 -2.894304e-01
## [1449] -2.174151e-01 -2.398703e-01 -3.664724e-02  2.248742e-01
## [1453]  6.220431e-01  1.044991e+00  1.005216e+00  5.307134e-01
## [1457]  3.173483e-01  3.073631e-01 -1.045866e-01 -5.506060e-02
## [1461] -1.408987e-01 -1.881587e-02 -1.265508e-01 -1.282660e-01
## [1465] -5.383611e-01 -5.383611e-01 -5.383611e-01 -5.383611e-01
## [1469] -5.383611e-01 -1.409097e-01 -3.641926e-02 -1.375542e-01
## [1473] -1.024768e-01 -8.413123e-02 -1.780149e-01 -1.006299e-01
## [1477]  4.568935e-03  1.706410e-02 -4.287294e-02 -2.532612e-02
## [1481] -8.044998e-02 -5.147195e-02 -4.599103e-02 -1.513184e-01
## [1485] -9.272060e-02 -1.739665e-01 -1.238067e-01 -1.200810e-01
## [1489] -1.591507e-01 -1.194072e-01 -1.471998e-01 -1.099966e-01
## [1493] -1.840497e-01 -9.953887e-02 -1.326502e-01 -1.654520e-02
## [1497] -1.137271e-01 -1.204194e-01 -5.795187e-02 -2.033484e-01
## [1501] -1.126488e-02  3.376565e-01  5.141514e-01  8.399879e-01
## [1505]  8.073221e-01  8.492398e-01  2.822293e-01 -8.207901e-02
## [1509] -7.142824e-02 -9.876097e-02  4.506965e-03  2.770564e-01
## [1513]  4.612609e-01  8.316056e-01  8.326288e-01  6.773839e-01
## [1517]  1.069102e-01 -2.740338e-01 -6.040212e-02 -1.029809e-01
## [1521] -1.648685e-02 -8.552315e-02 -4.664670e-02 -6.875817e-02
## [1525] -8.127598e-02 -5.227153e-01 -5.227153e-01 -5.227153e-01
## [1529] -5.227153e-01 -5.227153e-01 -1.056868e-01 -7.346626e-02
## [1533] -1.396177e-01 -1.868746e-01 -8.777257e-02 -1.320981e-01
## [1537] -1.032401e-01  3.204123e-02 -4.099602e-02 -1.191588e-01
## [1541] -3.959388e-02 -1.477813e-01 -8.585346e-02 -5.609015e-02
## [1545] -1.670930e-01 -7.673769e-02 -1.858149e-01 -4.368090e-02
## [1549] -1.617064e-01 -1.147612e-01 -1.043540e-01 -1.934204e-01
## [1553] -9.308478e-02 -2.009275e-01 -1.362535e-01 -2.705776e-01
## [1557] -1.159539e-01 -3.380335e-01 -2.652837e-01 -1.274478e-01
## [1561] -3.365813e-01 -2.003603e-01 -3.904109e-01  5.371699e-02
## [1565]  6.746241e-01  6.729228e-01  8.936732e-01  8.502443e-01
## [1569]  8.334249e-01  5.289550e-01  7.888989e-01  6.098760e-01
## [1573]  7.959139e-01  8.490094e-01  9.831146e-01  5.008294e-01
## [1577]  2.570965e-01 -1.456390e-01 -3.905253e-01 -3.273323e-01
## [1581] -2.143178e-01 -1.977165e-01 -7.536388e-02 -2.345998e-01
## [1585] -5.520175e-02 -2.293555e-01 -5.425686e-01 -5.425686e-01
## [1589] -5.425686e-01 -5.425686e-01 -5.425686e-01  2.994249e-02
## [1593] -1.406301e-01 -1.201124e-01 -1.925566e-01 -1.341849e-01
## [1597]  1.636786e-02 -7.119444e-02  1.033599e-02 -1.062820e-02
## [1601]  5.776102e-02 -9.791026e-02 -4.100888e-02 -5.968597e-02
## [1605] -1.633104e-01 -1.026067e-01 -1.321792e-01 -8.094006e-02
## [1609] -5.046082e-02 -1.729486e-01  7.866863e-03 -1.410231e-01
## [1613] -1.393281e-01 -1.629142e-01  1.031268e-02 -1.440126e-01
## [1617] -1.657979e-01 -9.824966e-02 -3.144163e-01 -1.044836e-01
## [1621] -1.059816e-01 -2.967664e-01 -2.680833e-01 -3.882922e-01
## [1625] -4.803044e-01 -2.626997e-01  1.728415e-01  5.980125e-01
## [1629]  8.280548e-01  9.608435e-01  1.046879e+00  1.012717e+00
## [1633]  1.162429e+00  8.160449e-01  9.068685e-01  6.014744e-01
## [1637]  3.087309e-01  6.147671e-03 -1.759367e-01 -2.441301e-01
## [1641] -2.137940e-01 -2.070464e-01 -1.038060e-01  3.327217e-02
## [1645] -2.110083e-01  8.808845e-02 -1.637164e-01 -5.519493e-01
## [1649] -5.519493e-01 -5.519493e-01 -5.519493e-01 -5.519493e-01
## [1653]  7.841052e-02 -1.292610e-01 -4.079854e-03 -1.464402e-01
## [1657] -9.735390e-02  9.366909e-02 -3.408013e-02  4.678593e-03
## [1661]  7.563332e-02  1.747782e-01 -3.766755e-02 -3.781622e-05
## [1665]  7.391712e-02  5.712226e-02  1.542556e-01  2.824307e-02
## [1669]  1.089886e-01  9.999793e-02 -4.426971e-02  8.679825e-02
## [1673]  2.139603e-02  9.330171e-02 -3.248086e-02  7.778122e-02
## [1677]  7.676614e-03  2.000591e-02 -1.862487e-02 -1.123839e-01
## [1681]  6.088653e-03 -5.559763e-02  6.758361e-03 -7.864153e-02
## [1685] -7.250485e-02 -2.734781e-01 -3.623794e-01 -3.159147e-01
## [1689] -1.188813e-01  1.861057e-01  2.534562e-01  4.799211e-01
## [1693]  4.248252e-01  6.865358e-01  4.950603e-01  4.031074e-01
## [1697]  2.702570e-01  1.400507e-01 -1.250069e-01 -1.255067e-01
## [1701]  2.199889e-02 -9.828735e-02  5.524792e-02  2.178152e-02
## [1705]  6.295762e-02 -1.057274e-02  1.753768e-01  1.070145e-01
## [1709] -5.080541e-01 -5.080541e-01 -5.080541e-01 -5.080541e-01
## [1713] -5.080541e-01  8.150143e-02 -4.350781e-02  1.043197e-02
## [1717] -7.810744e-02 -8.429369e-04  1.354166e-01  1.274098e-02
## [1721]  2.422400e-02  1.500909e-01  1.371510e-01  2.776840e-02
## [1725]  1.450029e-01  1.965020e-01  2.097986e-01  2.694639e-01
## [1729]  1.536657e-01  2.672203e-01  2.596062e-01  1.253129e-01
## [1733]  1.924228e-01  1.826241e-01  1.891556e-01  6.889424e-02
## [1737]  4.672434e-02  1.724123e-02  4.849911e-02 -1.003189e-01
## [1741] -1.612942e-01 -1.566915e-01 -2.613095e-01 -1.018898e-01
## [1745] -2.899602e-01 -2.210082e-01 -3.720352e-01 -3.231780e-01
## [1749] -3.960006e-01 -2.916515e-01 -3.915996e-02 -9.961899e-02
## [1753]  9.368985e-02 -4.555128e-02  1.879743e-01  2.509071e-01
## [1757]  1.702283e-01  2.658876e-01  1.420165e-01  9.623529e-02
## [1761]  6.256626e-02  1.588876e-01  3.127461e-02  2.222683e-01
## [1765]  4.538533e-02  1.368786e-01  1.919859e-01  2.271424e-01
## [1769]  2.876094e-01 -4.099493e-01 -4.099493e-01 -4.099493e-01
## [1773] -4.099493e-01 -4.099493e-01  1.172463e-01  4.491449e-02
## [1777]  5.782960e-02 -2.230788e-03  7.650002e-02  1.914277e-01
## [1781]  9.048481e-02  7.235318e-02  1.849140e-01  2.113908e-01
## [1785]  2.169506e-01  3.333038e-01  3.187903e-01  3.264434e-01
## [1789]  4.114713e-01  2.512560e-01  3.687029e-01  3.740394e-01
## [1793]  3.408951e-01  3.445503e-01  1.927795e-01  9.150556e-02
## [1797] -7.653886e-03 -6.866002e-02 -2.130325e-01 -2.516410e-01
## [1801] -3.007227e-01 -4.358878e-01 -4.103124e-01 -5.153598e-01
## [1805] -3.715091e-01 -5.416733e-01 -4.620027e-01 -5.339531e-01
## [1809] -3.477678e-01 -5.359149e-01 -4.742964e-01 -2.179579e-01
## [1813] -3.586153e-01 -2.059713e-01 -1.945340e-01 -4.988673e-02
## [1817]  6.478471e-02  2.428161e-02  3.883412e-01  2.397841e-01
## [1821]  2.838652e-01  2.746447e-01  3.627748e-01  3.420315e-01
## [1825]  3.948422e-01  2.278701e-01  2.749231e-01  3.733178e-01
## [1829]  3.878665e-01  2.922534e-01 -3.413037e-01 -3.413037e-01
## [1833] -3.413037e-01 -3.413037e-01 -3.413037e-01  1.364594e-01
## [1837]  8.840509e-02  8.703943e-02  5.051636e-02  1.355990e-01
## [1841]  1.972620e-01  1.586726e-01  1.580322e-01  2.042085e-01
## [1845]  3.097032e-01  3.944326e-01  4.579518e-01  3.557026e-01
## [1849]  3.745391e-01  4.994417e-01  4.368592e-01  4.840233e-01
## [1853]  4.087991e-01  3.265642e-01  1.366776e-01 -9.371875e-02
## [1857] -2.424614e-01 -2.166404e-01 -3.117077e-01 -3.954465e-01
## [1861] -4.786381e-01 -3.284324e-01 -4.822696e-01 -4.600789e-01
## [1865] -4.042113e-01 -3.927120e-01 -4.034650e-01 -3.499600e-01
## [1869] -3.601662e-01 -2.462286e-01 -4.168683e-01 -4.273251e-01
## [1873] -2.110543e-01 -3.279196e-01 -2.657550e-01 -1.611956e-01
## [1877] -2.622148e-01 -1.976569e-01 -2.561506e-01  7.681344e-02
## [1881] -4.337115e-02  1.148971e-01  2.642229e-01  3.537188e-01
## [1885]  5.333721e-01  4.491965e-01  5.056506e-01  4.369173e-01
## [1889]  4.558083e-01  5.197921e-01  3.308885e-01 -3.074492e-01
## [1893] -3.074492e-01 -3.074492e-01 -3.074492e-01 -3.074492e-01
## [1897]  1.462170e-01  1.370646e-01  9.948572e-02  1.048305e-01
## [1901]  1.986567e-01  1.693983e-01  1.406299e-01  2.529865e-01
## [1905]  2.135912e-01  3.650626e-01  4.475990e-01  4.703355e-01
## [1909]  4.022471e-01  4.495440e-01  5.268188e-01  6.162158e-01
## [1913]  6.097519e-01  3.245332e-01  1.256340e-01 -2.290901e-01
## [1917] -3.225185e-01 -4.316033e-01 -2.648326e-01 -4.034375e-01
## [1921] -3.229938e-01 -4.053978e-01 -1.885800e-01 -3.292371e-01
## [1925] -3.198260e-01 -2.356754e-01 -2.942670e-01 -1.980262e-01
## [1929] -3.427377e-01 -2.429943e-01 -1.657053e-01 -2.488020e-01
## [1933] -2.274694e-01 -1.720851e-01 -2.441825e-01 -2.599434e-01
## [1937] -1.763083e-01 -3.485799e-01 -2.387586e-01 -2.101332e-01
## [1941] -1.742071e-01 -2.433273e-01 -1.075277e-01  5.997070e-02
## [1945] -3.638773e-02  2.714801e-01  2.151208e-01  5.094623e-01
## [1949]  4.588635e-01  4.782346e-01  6.206727e-01  5.074733e-01
## [1953] -2.615610e-01 -2.615610e-01 -2.615610e-01 -2.615610e-01
## [1957] -2.615610e-01  1.970258e-01  1.568400e-01  1.541318e-01
## [1961]  2.050918e-01  2.425745e-01  1.611807e-01  1.092029e-01
## [1965]  2.610575e-01  2.814713e-01  4.475898e-01  4.856079e-01
## [1969]  5.036470e-01  5.591936e-01  6.146199e-01  5.657187e-01
## [1973]  6.223066e-01  4.470355e-01  3.818991e-02 -6.896823e-02
## [1977] -2.807129e-01 -2.841479e-01 -3.334945e-01 -1.524473e-01
## [1981] -2.860425e-01 -2.801666e-01 -2.272204e-01 -1.415300e-01
## [1985] -2.828510e-01 -2.031843e-01 -2.788975e-01 -2.320178e-01
## [1989] -1.904697e-01 -2.002516e-01 -5.545995e-02 -1.519433e-01
## [1993] -2.136297e-01 -1.885816e-01 -2.164573e-01 -1.721598e-01
## [1997] -2.257373e-01 -1.892466e-01 -2.960105e-01 -1.378966e-01
## [2001] -1.012749e-01 -2.549712e-01 -1.334725e-01 -1.962700e-01
## [2005] -1.626394e-01 -3.137418e-01 -6.017035e-02 -7.656922e-02
## [2009]  1.807997e-01  2.032677e-01  3.784757e-01  4.961479e-01
## [2013]  5.852633e-01 -2.317074e-01 -2.317074e-01 -2.317074e-01
## [2017] -2.317074e-01 -2.317074e-01  2.224379e-01  2.053377e-01
## [2021]  1.339538e-01  2.781949e-01  3.199993e-01  1.110258e-01
## [2025]  1.032688e-01  2.504397e-01  3.631492e-01  4.699259e-01
## [2029]  5.358375e-01  5.988793e-01  7.367947e-01  7.348141e-01
## [2033]  5.761445e-01  5.212378e-01  7.680546e-02 -2.825428e-01
## [2037] -2.343086e-01 -2.023708e-01 -1.594039e-01 -2.660756e-01
## [2041] -3.313167e-02 -1.976122e-01 -2.709039e-01 -7.159992e-02
## [2045] -1.404685e-01 -2.604082e-01 -8.586015e-02 -1.958483e-01
## [2049] -5.049554e-02 -5.969382e-03 -2.887567e-01 -8.533236e-02
## [2053] -1.923035e-01 -1.182180e-01 -1.270655e-01 -2.158043e-01
## [2057] -5.837716e-02 -2.076177e-01 -3.645825e-02 -1.421145e-01
## [2061] -1.569699e-01 -8.687592e-02 -3.350359e-01  1.467925e-02
## [2065] -9.321487e-02 -2.522116e-01 -2.444987e-01 -1.759211e-01
## [2069] -2.400578e-01 -1.733905e-01 -1.437532e-01  1.839519e-01
## [2073]  1.741092e-01  3.785274e-01 -2.091142e-01 -2.091142e-01
## [2077] -2.091142e-01 -2.091142e-01 -2.091142e-01 -1.774630e-02
## [2081]  1.494478e-01 -6.477400e-02  5.934991e-01  7.921770e-01
## [2085]  7.751977e-01  5.349260e-01  2.564099e-01  2.946547e-01
## [2089]  3.063133e-01  7.403527e-01  5.389191e-01  5.890324e-01
## [2093]  6.529342e-01  3.041713e-01  1.031980e-01 -2.613371e-01
## [2097] -2.247994e-01 -2.618043e-01 -1.030547e-01 -2.173577e-01
## [2101] -2.784363e-02 -1.423005e-01 -9.290296e-02 -2.413567e-01
## [2105] -1.427273e-01 -1.475463e-01 -1.514011e-01 -1.065866e-01
## [2109] -1.552815e-01 -1.191556e-01 -1.902243e-02 -9.222140e-02
## [2113] -9.869278e-02  1.750013e-02 -1.373281e-01 -2.642062e-01
## [2117] -1.058218e-01 -1.017459e-01 -1.770447e-01 -1.183873e-01
## [2121] -1.038118e-01 -1.956825e-01 -1.043451e-01 -1.516690e-01
## [2125] -1.380766e-01 -9.085328e-02 -1.552209e-01 -2.092897e-01
## [2129] -1.731340e-01 -1.676752e-01 -9.692870e-02 -2.172733e-01
## [2133] -2.514578e-01 -3.832642e-02  8.302814e-02 -1.905893e-01
## [2137] -1.905893e-01 -1.905893e-01 -1.905893e-01 -1.905893e-01
## [2141] -2.345813e-01  2.438886e-02  2.315544e-01  9.564041e-01
## [2145]  1.103617e+00  1.188502e+00  9.788708e-01  6.924011e-01
## [2149]  4.297513e-01  3.127579e-01  4.639890e-01  5.455939e-01
## [2153]  5.049097e-01  3.377808e-01  5.844973e-02 -1.430219e-01
## [2157] -3.227980e-01 -2.176220e-01 -2.154576e-01 -8.260181e-02
## [2161] -2.186152e-01 -9.631030e-02 -2.317994e-01 -1.462394e-01
## [2165] -2.240013e-01 -1.240724e-01 -2.108501e-01 -1.596441e-01
## [2169] -1.870285e-01 -2.049370e-01 -2.527797e-01 -1.291187e-01
## [2173] -1.664795e-01 -2.170712e-01 -9.024484e-02 -1.514393e-01
## [2177] -1.467750e-01 -8.581143e-02 -1.658645e-01 -1.239361e-01
## [2181] -1.551959e-01 -6.534036e-03 -7.476632e-02 -1.116747e-01
## [2185] -1.129089e-01 -1.319675e-01 -7.838995e-02 -9.808107e-02
## [2189] -2.037861e-01 -1.721379e-01 -1.649653e-01 -2.015103e-01
## [2193] -2.359031e-01 -2.405835e-01 -1.976033e-01 -1.409159e-01
## [2197] -1.765655e-01 -1.765655e-01 -1.765655e-01 -1.765655e-01
## [2201] -1.765655e-01 -1.851451e-01  6.086018e-01  1.037104e+00
## [2205]  1.098702e+00  5.845705e-01  4.628950e-01  6.845421e-01
## [2209]  1.051840e+00  6.932711e-01  4.616802e-01  3.794199e-01
## [2213]  5.400428e-01  4.517478e-01 -3.314276e-02 -1.948142e-01
## [2217] -3.455955e-01 -3.474901e-01 -2.506718e-01 -1.991313e-01
## [2221] -7.864276e-02 -1.769475e-01 -1.245833e-01 -2.081641e-01
## [2225] -1.082221e-01 -1.140997e-01 -8.021403e-02 -1.121095e-01
## [2229] -1.796943e-01 -2.222409e-01 -2.957498e-01 -2.973349e-01
## [2233] -1.974556e-01 -1.648084e-01 -2.371213e-01 -9.355747e-02
## [2237] -4.661203e-02 -4.795850e-02 -1.089382e-01 -2.356759e-01
## [2241] -1.390231e-01 -2.091761e-01 -1.399881e-02  2.678584e-02
## [2245] -7.335140e-02 -1.643626e-01 -6.029265e-02 -5.261790e-02
## [2249] -1.083454e-01 -1.935431e-01 -1.847151e-01 -1.643054e-01
## [2253] -2.302410e-01 -2.109919e-01 -1.614616e-01 -2.594213e-01
## [2257] -2.864068e-01 -1.759907e-01 -1.759907e-01 -1.759907e-01
## [2261] -1.759907e-01 -1.759907e-01  6.133256e-01  1.120564e+00
## [2265]  8.137980e-01  3.007242e-01 -5.726726e-02 -1.282732e-02
## [2269]  4.501763e-01  1.158544e+00  8.634287e-01  5.964726e-01
## [2273]  5.302173e-01  3.868589e-01  1.712358e-01 -2.639734e-01
## [2277] -3.303382e-01 -2.967326e-01 -2.786773e-01 -2.128676e-01
## [2281] -1.659458e-01 -9.713498e-02 -1.440935e-01 -1.326733e-01
## [2285] -2.096679e-01 -1.448606e-01 -1.970957e-02 -4.965736e-02
## [2289] -7.727172e-02 -1.426971e-01 -9.870626e-02 -1.199837e-01
## [2293] -1.905622e-01 -2.490317e-01 -1.823526e-01 -1.470200e-01
## [2297] -4.495900e-02  6.990913e-02  6.182993e-02 -3.792191e-02
## [2301] -1.585222e-01 -1.424491e-01 -1.859960e-01 -1.070468e-01
## [2305] -6.862393e-02 -1.194299e-01 -1.643989e-01 -1.038304e-02
## [2309] -7.008476e-02 -1.463988e-01 -1.789231e-01 -2.413742e-01
## [2313] -1.968758e-01 -2.004383e-01 -1.073271e-01 -7.887735e-02
## [2317] -2.347296e-01 -1.383196e-01 -1.733153e-01 -1.733153e-01
## [2321] -1.733153e-01 -1.733153e-01 -1.733153e-01  1.121468e+00
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## [3097] -7.232427e-02 -1.100291e-01  2.073407e-01  3.058219e-01
## [3101] -8.194991e-02 -1.005767e-01 -1.634440e-01 -1.237998e-02
## [3105] -2.363809e-01  4.324214e-01  6.348620e-02 -1.006036e-01
## [3109] -1.598150e-01 -1.117645e-01 -1.492218e-01 -1.406135e-01
## [3113] -1.406135e-01 -1.406135e-01 -1.406135e-01 -1.406135e-01
## [3117]  5.475035e-01  8.683993e-01  1.477116e+00  9.006935e-01
## [3121]  1.639422e-01 -4.689552e-01 -3.606911e-01 -4.927795e-01
## [3125] -1.428238e-01 -2.081326e-01 -2.062904e-01 -2.076149e-01
## [3129] -1.773050e-01 -1.086783e-01 -8.967476e-02 -4.947548e-02
## [3133] -1.644000e-01 -5.497804e-02 -1.920729e-01 -1.794275e-01
## [3137] -2.034788e-01 -1.605428e-01  6.998676e-02  4.099371e-02
## [3141] -1.926170e-01 -1.385536e-01 -9.305951e-02 -1.657656e-01
## [3145] -1.072227e-01  5.526048e-02  5.048899e-02  3.921138e-01
## [3149]  6.531303e-01  3.613298e-01 -1.018538e-01 -1.182718e-01
## [3153] -2.288825e-01 -1.254035e-02  3.843204e-01  2.137985e-01
## [3157] -1.457608e-01 -1.716932e-01 -1.994845e-01 -8.803168e-02
## [3161] -1.266466e-01 -1.567104e-01 -1.087502e-01 -4.263194e-02
## [3165] -1.562297e-01  2.824030e-02  4.860117e-01  1.211523e-01
## [3169]  2.502899e-02 -2.119587e-01 -7.057239e-02 -3.188491e-02
## [3173] -1.295532e-01 -1.295532e-01 -1.295532e-01 -1.295532e-01
## [3177] -1.295532e-01  7.711265e-01  1.392810e+00  1.399199e+00
## [3181]  4.946110e-01 -1.271866e-01 -4.887212e-01 -2.923872e-01
## [3185] -4.343252e-01 -1.546345e-01 -2.451589e-01 -1.442832e-01
## [3189] -1.937148e-01 -4.324538e-02 -1.300437e-01 -4.861549e-02
## [3193] -1.250509e-01 -2.014028e-01 -2.418101e-02  7.097098e-02
## [3197]  1.973794e-01  1.556861e-01  1.596111e-01  3.112365e-01
## [3201]  2.410493e-01 -1.283670e-01 -1.566716e-01 -7.038654e-02
## [3205] -1.450457e-01 -1.275149e-01 -1.782919e-01 -2.151043e-01
## [3209] -1.747672e-01  2.605416e-01  3.619248e-01 -7.916220e-03
## [3213] -4.600086e-02 -1.133038e-01 -6.266271e-03  4.332831e-01
## [3217] -7.307317e-03 -8.936896e-02 -2.366869e-01 -7.661892e-02
## [3221] -1.669941e-01 -2.542351e-01 -1.351650e-01 -1.265938e-01
## [3225] -1.259830e-01 -1.834111e-01  4.032368e-02  1.829937e-01
## [3229] -9.279581e-03 -5.861460e-03 -2.392455e-01 -3.542531e-02
## [3233] -1.102186e-01 -1.242744e-01 -1.242744e-01 -1.242744e-01
## [3237] -1.242744e-01 -1.242744e-01  9.990801e-01  1.552141e+00
## [3241]  1.038131e+00  4.033355e-02 -2.960387e-01 -4.126772e-01
## [3245] -2.488905e-01 -3.507036e-01 -1.965847e-01 -2.435251e-01
## [3249] -7.106046e-02 -1.739299e-01  1.269647e-02 -1.589685e-01
## [3253] -4.482096e-02 -9.429576e-02 -1.557595e-02  1.941000e-02
## [3257]  1.474639e-01  2.156328e-01  2.300849e-01  1.793601e-01
## [3261]  2.186901e-01  2.000144e-01  5.046807e-02 -9.548352e-02
## [3265] -1.904386e-02 -8.692460e-02  1.220250e-02 -1.173660e-01
## [3269] -5.444766e-02 -1.632646e-01 -1.989267e-01 -3.063234e-02
## [3273] -6.260052e-02  8.807458e-02 -4.202706e-02 -9.997956e-02
## [3277]  4.928115e-02 -1.714137e-01 -1.999477e-02 -7.745860e-03
## [3281]  3.401056e-02 -3.906322e-02 -1.254009e-01 -1.065910e-01
## [3285] -5.480712e-02 -1.456966e-01 -8.935506e-02 -1.023026e-01
## [3289] -1.501271e-02 -2.732468e-02 -2.234485e-02 -1.130394e-01
## [3293] -2.802972e-02 -1.198140e-01 -7.205344e-02 -7.205344e-02
## [3297] -7.205344e-02 -7.205344e-02 -7.205344e-02  1.413635e+00
## [3301]  1.504818e+00  5.251678e-01 -2.500141e-01 -2.456701e-01
## [3305] -2.887904e-01 -1.826628e-01 -3.024204e-01 -7.085542e-02
## [3309] -1.384946e-01 -3.912256e-02 -2.210632e-01 -5.991295e-03
## [3313] -8.597894e-02  5.222188e-02 -6.116159e-03  6.675000e-04
## [3317] -1.178540e-01 -1.014355e-01 -1.023128e-01 -9.231287e-02
## [3321] -6.870482e-02 -6.811190e-02 -5.371643e-02  1.042623e-01
## [3325] -5.612352e-02 -2.817769e-02 -8.504212e-02  4.397950e-02
## [3329] -9.356839e-02  5.454171e-02 -1.232180e-01 -7.118637e-02
## [3333] -1.821755e-01 -2.537159e-02  1.148052e-01 -1.163145e-02
## [3337] -9.973706e-02 -7.525585e-02  6.573111e-02  4.331455e-02
## [3341]  2.104096e-01  5.218602e-02 -2.038208e-02 -4.620629e-02
## [3345] -4.951835e-02  4.546210e-02  1.286719e-02  1.731980e-01
## [3349] -2.042637e-01 -1.165616e-01 -2.562753e-02 -1.033405e-01
## [3353] -1.073609e-01 -1.137427e-01  2.311903e-02 -9.246223e-02
## [3357] -9.246223e-02 -9.246223e-02 -9.246223e-02 -9.246223e-02
## [3361]  1.706703e+00  1.111141e+00  5.396530e-02 -3.395914e-01
## [3365] -2.688355e-01 -2.015975e-01 -2.692876e-01 -3.549009e-01
## [3369] -2.419806e-02 -1.188925e-01 -3.154678e-02 -1.043558e-01
## [3373]  1.643652e-02 -9.625895e-02  3.904350e-02 -6.828553e-02
## [3377] -2.069017e-02 -6.013237e-02  2.850893e-02 -8.397851e-04
## [3381] -7.311745e-02  4.921622e-02 -2.628125e-02 -1.480948e-01
## [3385]  2.695629e-02 -5.393223e-02 -3.050389e-03 -2.371368e-02
## [3389] -3.760385e-02 -2.009580e-01 -9.182560e-02 -1.502231e-01
## [3393]  4.981868e-02 -1.370324e-01 -1.401853e-02 -2.620989e-02
## [3397] -3.546563e-02 -2.205228e-02 -1.234048e-01 -4.577492e-03
## [3401] -5.802961e-02  1.743369e-01 -1.029543e-01 -6.872105e-02
## [3405]  3.398704e-02 -1.184030e-01  3.706095e-02 -8.474841e-03
## [3409]  4.439064e-02 -1.600623e-01  2.543458e-01  4.197967e-01
## [3413]  1.622686e-01 -1.883629e-02 -6.898316e-02 -1.022585e-02
## [3417] -9.390098e-02 -9.390098e-02 -9.390098e-02 -9.390098e-02
## [3421] -9.390098e-02  1.602075e+00  6.144526e-01 -1.496867e-01
## [3425] -1.667455e-01 -1.870227e-01 -1.017194e-01 -1.777497e-01
## [3429] -2.102940e-01 -1.202990e-01 -1.228070e-01 -1.641697e-02
## [3433] -2.070074e-02  3.573590e-03  1.097871e-02 -7.053750e-03
## [3437] -6.900371e-02 -2.614583e-02 -1.563191e-02  1.325655e-03
## [3441] -7.911579e-02 -1.141780e-01  1.323649e-02 -6.114461e-02
## [3445] -1.448060e-01 -2.201663e-02  5.444397e-02 -5.609129e-02
## [3449]  1.081832e-01 -4.677225e-03 -4.300861e-02  4.824005e-02
## [3453]  2.481591e-01 -6.298478e-02 -5.453020e-02  2.650527e-03
## [3457] -2.586468e-02 -7.335192e-02 -3.026653e-02 -8.855404e-02
## [3461] -1.494944e-01 -4.150354e-02  3.102104e-02 -1.157667e-01
## [3465] -1.096540e-03  4.506642e-02 -6.543682e-02  2.234322e-02
## [3469] -6.561581e-02 -8.975023e-02 -6.772032e-02  1.350568e-01
## [3473]  3.316589e-01  1.250748e-01  2.731936e-02 -3.533575e-02
## [3477] -7.176726e-02 -7.668823e-02 -7.668823e-02 -7.668823e-02
## [3481] -7.668823e-02 -7.668823e-02  1.230227e+00  1.589017e-01
## [3485] -2.667818e-01 -5.914037e-02 -1.235133e-01 -4.877538e-02
## [3489] -6.567993e-02 -4.650009e-02 -1.567669e-01 -4.191828e-02
## [3493] -6.876110e-02 -4.014986e-02 -8.324889e-02  1.983014e-02
## [3497]  1.778124e-02 -3.061781e-02  8.145146e-02 -5.537363e-02
## [3501]  7.611219e-02  2.905985e-02 -1.019178e-02 -1.126517e-03
## [3505] -4.540781e-02 -6.269885e-02 -1.012954e-01  8.530518e-02
## [3509] -9.304711e-02  1.444897e-01  1.589919e-02 -3.589428e-02
## [3513] -3.773801e-03  7.197523e-02 -8.334697e-02  8.539295e-02
## [3517] -1.467103e-02  1.902617e-02  1.295902e-02 -4.781678e-02
## [3521]  6.554055e-02 -7.374207e-02  1.019136e-01 -1.267691e-01
## [3525] -5.311387e-02  1.911968e-02 -4.786909e-02  1.648594e-02
## [3529] -2.177074e-02  2.776126e-03 -1.184695e-02  1.414762e-02
## [3533] -1.969513e-01  1.037580e-01  4.013356e-02  6.262870e-02
## [3537]  9.408532e-02 -6.699852e-02 -7.644054e-02 -7.644054e-02
## [3541] -7.644054e-02 -7.644054e-02 -7.644054e-02  5.997338e-01
## [3545]  7.169824e-02 -2.045371e-01 -4.113906e-03  6.883153e-02
## [3549] -2.115842e-02 -3.273408e-02  1.696198e-02 -1.036666e-01
## [3553]  1.000858e-01 -9.203817e-02  1.806004e-02  4.112599e-02
## [3557] -5.134428e-02 -7.706110e-03 -4.636137e-02 -6.761246e-02
## [3561] -4.951381e-02  4.607768e-02  6.004102e-03 -8.749791e-02
## [3565] -2.665680e-02  6.989030e-02 -8.142710e-02 -4.810573e-02
## [3569]  5.046807e-02  1.815795e-02  1.020759e-01  4.913022e-02
## [3573]  1.092135e-01 -6.121467e-02  4.454670e-02 -6.948308e-02
## [3577]  1.063104e-01  2.866703e-02 -4.264957e-02  1.359413e-01
## [3581] -1.285625e-01  7.596041e-02 -3.338300e-02 -3.172053e-02
## [3585]  2.177936e-02 -4.550623e-02  3.575466e-03 -6.226456e-02
## [3589] -4.706817e-02 -7.671534e-02  1.052054e-01 -4.664862e-02
## [3593] -7.226975e-02 -1.212191e-03 -1.370182e-02  3.112561e-02
## [3597]  9.409773e-02  1.714187e-03  2.263793e-02 -8.219756e-02
## [3601] -8.219756e-02 -8.219756e-02 -8.219756e-02 -8.219756e-02
## [3605]  1.921615e-01 -5.779381e-03 -1.229262e-01 -3.130269e-02
## [3609]  2.949645e-02 -1.517327e-02  3.495650e-05  8.535082e-02
## [3613] -6.699811e-03  5.628541e-02 -5.019077e-03 -1.618651e-02
## [3617]  2.515956e-02  4.569072e-02  1.795278e-02 -2.895264e-02
## [3621] -1.020432e-01  1.744164e-01  2.494471e-04  1.742968e-02
## [3625] -7.289464e-02  7.780431e-03  7.092489e-02 -7.297886e-02
## [3629] -4.694953e-02  1.168726e-02  6.700660e-02  6.294405e-02
## [3633] -9.436863e-03  1.668445e-01  3.243162e-02  1.341817e-01
## [3637] -1.290768e-01 -4.276116e-03  6.103484e-02 -4.295430e-02
## [3641]  9.079360e-02 -1.087368e-01  7.945296e-02 -9.057187e-02
## [3645]  1.075691e-02 -8.778046e-03  2.422293e-02 -1.419545e-02
## [3649]  3.084771e-02  1.728064e-02 -2.863232e-02  2.718275e-02
## [3653] -4.465983e-02  8.537424e-03 -3.516713e-02 -9.552457e-04
## [3657] -1.363829e-02 -5.913154e-02  4.083618e-02 -6.087042e-02
## [3661] -1.085182e-01 -1.085182e-01 -1.085182e-01 -1.085182e-01
## [3665] -1.085182e-01 -4.235874e-02  6.051158e-02  2.212486e-02
## [3669] -4.375465e-02 -2.360979e-02  8.272071e-03 -3.821885e-02
## [3673] -4.608081e-02  2.594561e-02 -2.968671e-02  5.555569e-02
## [3677]  3.768858e-02 -9.444039e-03  1.218884e-02 -5.577967e-03
## [3681] -4.666049e-02  1.491119e-01  8.463622e-01  1.366945e-01
## [3685]  1.054626e-01 -1.039825e-01  4.573466e-02 -6.104287e-02
## [3689] -1.207237e-01 -3.779608e-02  2.213442e-04  3.787845e-02
## [3693]  2.452906e-02 -1.042452e-01  1.026976e-01  6.771011e-02
## [3697]  1.421464e-01 -1.334754e-01 -4.527771e-02  3.595346e-02
## [3701] -6.413773e-02  3.841345e-02 -6.320290e-02 -1.833204e-02
## [3705] -5.122113e-02 -9.698455e-02 -1.247356e-01  1.565045e-01
## [3709] -1.274026e-01  6.151851e-03 -7.122195e-02 -6.018834e-02
## [3713] -4.799368e-02 -1.706341e-02  1.335537e-01 -8.727255e-02
## [3717]  5.928813e-02  6.495558e-02 -1.441466e-01  7.590335e-02
## [3721] -4.313023e-02
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Часть вторая

Я предлагаю использовать следующую архитектуру, но вы можете выбрать свою. Архитектура указанная ниже достаточно неплохо обучается (70% accuracy на train, 100% на test).

train.array <- t(nn.data.x)
dim(train.array) <- c(61, 61, 1, ncol(train.array))
test.array <- t(nn.data.x_test)
dim(test.array) <- c(61, 61, 1, ncol(test.array))

#mx.set.seed(1)

data <- mx.symbol.Variable('data')

conv.1 <- mx.symbol.Convolution(data = data, kernel = c(5, 5), num_filter = 10)
tanh.1 <- mx.symbol.LeakyReLU(conv.1, slope=0)
pool.1 <- mx.symbol.Pooling(data=tanh.1, kernel=c(2, 2), stride=c(2, 2), pool.type="max")

conv.2 <- mx.symbol.Convolution(data = pool.1, kernel = c(5, 5), num_filter = 10)
tanh.2 <- mx.symbol.LeakyReLU(conv.2, slope=0)
pool.2 <- mx.symbol.Pooling(data=tanh.2, kernel=c(2, 2), stride=c(2, 2), pool.type="max")

fc.1 <- mx.symbol.FullyConnected(data = pool.2, num_hidden = 3)

nn.model <- mx.symbol.SoftmaxOutput(data = fc.1)

graph.viz(nn.model)
mx.set.seed(1)
model <- mx.model.FeedForward.create(nn.model, 
                                     X=train.array, 
                                     y=as.array(nn.data.y-1),
                                     eval.data = list(
                                       data=test.array,
                                       label=as.array(nn.data.y_test-1)
                                     ),
                                     ctx=mx.cpu(), 
                                     num.round = 100,
                                     optimizer="adadelta",
                                     eval.metric = mx.metric.accuracy,
                                     epoch.end.callback = mx.callback.log.train.metric(10))

soft_preds <- predict(model, test.array)
preds <- apply(soft_preds,2, which.max )

M = matrix(0,3,3)

for (i in 1:length(preds)) {M[nn.data.y_test[i], preds[i]] <- (M[nn.data.y_test[i], preds[i]] + 1)}

print(M)
##      [,1] [,2] [,3]
## [1,]  407  198  195
## [2,]  180  312    8
## [3,]   54    4  342